E. J. Hinch and M. A. H. MacCallum
Notes on Mathematical Methods I
Cambridge SRC Mathematics Teaching Committee, Cambridge (1968).
G. F. R. Ellis and M. A. H. MacCallum
A class of homogeneous cosmological models
Commun. math. phys. 12, 108-141 (1969).
M. A. H. MacCallum
A class of homogeneous cosmological models
Ph.D. thesis, University of Cambridge (1970).
M. A. H. MacCallum, J. M. Stewart, and B. G. Schmidt
Anisotropic stresses in homogeneous cosmologies
Commun. math. phys. 17, 343 (1970).
M. A. H. MacCallum and G. F. R. Ellis
A class of homogeneous cosmological models II: observations
Commun. math. phys. 19, 31-64 (1970).
J. M. Stewart, M. A. H. MacCallum, and D. W. Sciama
Thermodynamics and cosmology
Comments in Astrophys. and Space Phys. 2, 206-8 (1970).
M. A. H. MacCallum
On the mixmaster universe problem
Nature (Phys. Sci.) 230, 112-3 (1971).
M. A. H. MacCallum
A class of homogeneous cosmological models. III. Asymptotic behaviour
Commun. math. phys. 20, 57-84 (1971).
M. A. H. MacCallum
On the pulsating universe of Sengupta
Phys. Lett. A 35, 474 (1971).
M. A. H. MacCallum and A. H. Taub
Variational principles and spatially homogeneous universes, including rotation
Commun. math. phys. 25, 173-189 (1972).
M. A. H. MacCallum
On criteria of cosmological spatial homogeneity
Phys. Lett. A 40, 325-6 (1972).
M. A. H. MacCallum
On `diagonal' Bianchi cosmologies
Phys. Lett. A 40, 385-6 (1972).
R. Penrose and M. A. H. MacCallum
Twistor theory: an approach to the quantisation of fields and space-time
Phys. Reports (Phys. Lett. C) 6, 241-316 (1973)
(Russian translation: 'Teoria tvistorov: podkhod k kvantovanalo polyem i prostantsva-vremeni', translated by A.G. Sergeev, in 'Tvistorii i kalibrovochnie polya, cbornik statei', pp. 131-224, ed. V.V. Zharinov, Mir, Moscow, 1983).
M. A. H. MacCallum and A. H. Taub
The averaged Lagrangian and high-frequency gravitational waves
Commun. math. phys. 30, 153-170 (1973).
M. A. H. MacCallum
Cosmological models from the geometric point of view
In Cargèse Lectures in Physics, vol.6, ed. E. Schatzman, pages 61-174. Gordon and Breach, New York (1973)
From email from Taylor and Francis "Given that the material was pre-digital you are permitted to scan and post the printed original."
Available on line .
M. A. H. MacCallum
Quantum cosmological models
In Quantum gravity: an Oxford symposium, ed. C.J. Isham, R. Penrose, and D.W. Sciama, pages 174-218. Oxford University Press, Oxford (1975).
M. A. H. MacCallum
Cosmology and curved space quantum theory
In Transactions of the International Astronomical Union, vol. XVIA, part 3 (Section 5 of the report of Commission 47), ed. G. Contopoulos, pages 148-151. D. Reidel and Co., Dordrecht (1976).
M. A. H. MacCallum
Comment on `A class of Bianchi type VI cosmological models with electromagnetic field' by Dunn and Tupper
Astrophys. J. 212, 946 (1977).
M. A. H. MacCallum
Anisotropic cosmologies
Rendiconti di Seminario Matematico Univers. Politec. Torino 36, 27-34 (1978).
V. A. Belinski and M. A. H. MacCallum
Is gravity turbulent near cosmological singularities?
Preprint, Landau Institute and Queen Mary (1978)
Gravity Essay competition entry: selected for Honorable Mention.
M. A. H. MacCallum
Anisotropic and inhomogeneous relativistic cosmologies
In General relativity: an Einstein centenary survey, ed. S.W. Hawking and W. Israel, pages 533-580. Cambridge University Press, Cambridge (1979)
Russian translation: `Obshchaya teoria otnositel'nosti' edited by Ya. A. Smorodinskii and V.B. Braginskii, Mir, Moscow, 1983. Also reprinted on pp. 179-236 in ``The early universe: reprints'', ed. E.W. Kolb and M.S. Turner, Addison-Wesley, Reading, Mass. 1988.
M. A. H. MacCallum
The mathematics of anisotropic cosmologies
In Physics of the expanding universe, ed. M. Demiański, volume 109 of Lecture Notes in Physics pages 1-59. Springer-Verlag, Berlin and Heidelberg (1979).
M. A. H. MacCallum
Comment
Gen. Relativ. Gravit. 10, 1039-40 (1979)
Contribution to the GR8 symposium on singularities.
D. Kramer, H. Stephani, M. A. H. MacCallum, and E. Herlt
Exact solutions of Einstein's field equations
Deutscher Verlag der Wissenschaften, Berlin, and Cambridge University Press, Cambridge (1980)
(Russian translation: "Tochnie resheniya uravnenii Einshteina", 418 pp., translated by I.V. Mitskievich, V.D. Zakharov and S.V. Rumyantsev and edited by Yu. S. Vladimirov, Energoisdat, Moscow, 1982).
M. A. H. MacCallum
Locally isotropic spacetimes with non-null homogeneous hypersurfaces
In Essays in General Relativity: a Festschrift for Abraham Taub, ed. F.J. Tipler, pages 121-138. Academic Press, New York (1980).
M. A. H. MacCallum and S. T. C. Siklos
Homogeneous and hypersurface-homogeneous algebraically special Einstein spaces
In Abstracts of contributed papers for the 9th international conference on general relativity and gravitation, Jena, DDR, 1980, vol. 1, ed. E. Schmutzer, pages 54-55. International Society on General Relativity and Gravitation, Jena (1980).
W. B. Bonnor and M. A. H. MacCallum
The Melnick-Tabensky solutions have high symmetry
J. Math. Phys. 23(9), 1639-40 (1982).
A. Karlhede and M. A. H. MacCallum
On determining the isometry group of a Riemannian space
Gen. Rel. Grav. 14, 673-82 (1982).
M. A. H. MacCallum
Relativistic cosmology for astrophysicists
In Origin and evolution of the galaxies, ed. V. de Sabbata, pages 9-33. World Scientific, Singapore (1982)
Also, in revised form, in \em Origin and evolution of the galaxies, (1983) ed.\ B.J.T. and J.E. Jones, volume 97 of Nato Advanced Study Institute Series, p. 9 (D.Reidel and Co., Dordrecht).
M. A. H. MacCallum
Relativistic cosmologies
Irish Astron. J. 15, 125-127 (1982).
M. A. H. MacCallum, A. Spero, and D. A. Szafron
On the geometry of the Zel'manov-Grishchuk homogeneity criterion
Phys. Lett. A 87, 157-8 (1982)
Also unpublished note on Grishchuk's criterion.
M. A. H. MacCallum, A. Moussiaux, P. Tombal, and J. Demaret
Comment on ``On the general solution for `diagonal' vacuum Bianchi type III model with a cosmological constant''
J. Phys. A 15(5), 1757-8 (1982).
M. A. H. MacCallum
Relativistic cosmology for astrophysicists
In Proceedings of the 7th International School of Cosmology and Gravitation, Erice, Sicily, ed. B.J.T. Jones and J.E. Jones, pages 9-39. D. Reidel, Dordrecht (1983).
M. A. H. MacCallum
Classifying metrics in theory and practice
In Unified Field Theories of more than 4 Dimensions Including Exact Solutions. Proceedings of the International School of Cosmology and Gravitation, ed. V. De Sabbata and E. Schmutzer, pages 352-82. World Scientific, Singapore (1983).
M. A. H. MacCallum
Static and stationary `cylindrically symmetric' Einstein-Maxwell fields and the solutions of Van den Bergh and Wils
J. Phys. A 16(16), 3853-66 (1983).
M. A. H. MacCallum
Proposed format for recording the invariant characterization of exact solutions
In Contributed papers of the 10th international conference on general relativity and gravitation. Vol. 1. Classical relativity., ed. B. Bertotti, F. de Felice, and A. Pascolini, pages 301-3. Consiglione Nazionale di Ricerce, Rome (1983).
J. E. Åman, R. A. d'Inverno, G. C. Joly, and M. A. H. MacCallum
Quartic equations and classification of the Riemann tensor in General Relativity
In EUROSAM 84: Proceedings of the 1984 European conference on symbolic and algebraic manipulation, ed. J. Fitch, volume 174 of Lecture Notes in Computer Science pages 47-58. Springer Verlag, Berlin and Heidelberg (1984).
W. B. Bonnor, J. N. Islam, and M. A. H. MacCallum (eds.)
Classical general relativity (Proceedings of the 1983 London conference on classical (non-quantum) general relativity)
Cambridge University Press, Cambridge (1984).
D. Kramer, H. Stephani, M. A. H. MacCallum, and E. Herlt
Exact solutions of Einstein's field equations: corrections
Preprint (unpublished), Queen Mary College (1984).
M. A. H. MacCallum
Algebraic computing in general relativity
In Classical general relativity (Proceedings of the 1983 London conference on classical (non-quantum) general relativity), ed. W.B. Bonnor, J.N. Islam, and M.A.H. MacCallum, pages 145-171. Cambridge University Press, Cambridge (1984).
M. A. H. MacCallum
Exact Solutions and Singularities. Report of Workshop A2
In General Relativity and Gravitation (Proceedings of the 10th international conference on general relativity and gravitation, Padova, 1983), ed. B. Bertotti, F. de Felice, and A. Pascolini, pages 69-81. D. Reidel Publishing Comp., Dordrecht (1984).
M. A. H. MacCallum
Exact solutions in cosmology
In Solutions of Einstein's equations: techniques and results (Retzbach, Germany, 1983), ed. C. Hoenselaers and W. Dietz, volume 205 of Lecture Notes in Physics pages 334-366. Springer Verlag, Berlin and Heidelberg (1984).
J. E. Åman, R. A. d'Inverno, G. C. Joly, and M. A. H. MacCallum
Progress on the equivalence problem
In EUROCAL 85: proceedings of the European conference on computer algebra, Linz, Austria, vol. 2, ed. B.F. Caviness, volume 204 of Lecture Notes in Computer Science pages 89-98. Springer Verlag, Berlin and Heidelberg (1985).
M. A. H. MacCallum
On some Einstein-Maxwell fields of high symmetry
Gen. Rel. Grav. 17(7), 659-68 (1985).
M. A. H. MacCallum
Understanding the solutions of Einstein's equations
Quart. J. Roy. Astron. Soc. 26, 127-136 (1985)
Invited lecture given at the G.C. McVittie 80th birthday meeting. Also appeared in abbreviated form in \em Bull. Inst. Maths. Applns. \bf 21, 85-6, 1985.
M. A. H. MacCallum (ed.)
Galaxies, axisymmetric systems and relativity: essays presented to W.B. Bonnor on his 65th birthday
Cambridge University Press, Cambridge (1985).
M. A. H. MacCallum
Relativistic cosmological models
In Observational and theoretical aspects of relativistic astrophysics and cosmology (Proceedings of the 1984 Santander School), ed. J.L. Sanz and L.J. Goicoechea, pages 183-228. World Scientific, Singapore (1985).
M. A. H. MacCallum and N. Van den Bergh
Non-inheritance of static symmetry by Maxwell fields
In Galaxies, axisymmetric systems and relativity: essays presented to W.B. Bonnor on his 65th birthday, ed. M.A.H. MacCallum, pages 138-148. Cambridge University Press, Cambridge (1985).
M. A. H. MacCallum and J. E. Åman
Algebraically independent $n$-th derivatives of the Riemannian curvature spinor in a general spacetime
Class. Quantum Grav. 3(6), 1133-41 (1986).
M. A. H. MacCallum
Algebraic computing in relativity
In Dynamical spacetimes and numerical relativity, ed. J.M. Centrella, pages 411-445. Cambridge University Press, Cambridge (1986).
M. A. H. MacCallum
Computer algebra-tomorrow's calculator
New Scientist 1531, 52-55 (1986).
M. A. H. MacCallum
Computer-aided classification of exact solutions in general relativity
In Gravitational Collapse and Relativity (Proceedings of the XIV Yamada conference), ed. H. Sato and T. Nakamura, pages 127-140. World Scientific, Singapore (1986).
M. A. H. MacCallum
Strengths and weaknesses of cosmological big-bang theory
In Theory and observational limits in cosmology, ed. W.R. Stoeger, pages 121-142. Specola Vaticana, Vatican City (1987).
M. A. H. MacCallum
Lectures on computer algebra, exact solutions and cosmology
In Cosmology and high energy (Proceedings of the second workshop on fundamental physics, University of Puerto Rico at Humacao, 1986), ed. E. Esteban, pages 1-68. Colegio Universitario Humacao, Humacao, Puerto Rico (1987).
M. A. H. MacCallum (ed.)
General Relativity and Gravitation (Proceedings of the 11th international conference, Stockholm, 1986)
Cambridge University Press, Cambridge (1987).
M. A. H. MacCallum
An overview of exact solutions of Einstein's equations and their classification
In Highlights in gravitation and cosmology (Proceedings of the Goa conference 1987), ed. B.R. Iyer, C.V. Vishveshwara, J.V. Narlikar, and A. Kembhavi, pages 3-14. Cambridge University Press, London and New York (1988).
J. Castejon-Amenedo, M. A. H. MacCallum, and V. S. Manko
On an axisymmetric solution of the vacuum Einstein equations for a stationary rotating mass
Class. Quant. Grav. 6(11), L211-15 (1989).
A. Feinstein, M. A. H. MacCallum, and J. M. M. Senovilla
On the ambiguous evolution and production of matter in space-times with colliding waves
Class. Quant. Grav. 6(11), L217-221 (1989).
M. A. H. MacCallum
An ordinary differential solver for REDUCE
In Symbolic and algebraic computation (International symposium ISSAC '88), ed. P. Gianni, volume 358 of Lecture Notes in Computer Science pages 196-205. Springer-Verlag, Berlin and Heidelberg (1989).
M. A. H. MacCallum
Comments on the performance of algebra systems in general relativity and a recent paper by Nielsen and Pedersen
ACM SIGSAM Bulletin 23, 22-25 (1989).
M. A. H. MacCallum
Computer algebra in relativistic gravity
In Proceedings of the Fifth Marcel Grossmann meeting on general relativity. Part A, ed. D.G. Blair and M.J. Buckingham, pages 1157-1164. World Scientific, Singapore (1989).
M. A. H. MacCallum
Algebraic computing in relativistic gravity
In Proceedings of the IXth international congress on Mathematical Physics (17-27 July, 1988; Swansea), ed. B. Simon, A. Truman, and I.M. Davies, pages 264-267. Adam Hilger, London (1989).
M. A. H. MacCallum
Symbolic computation in relativity theory
In EUROCAL 87 (Proceedings of the European Conference on Computer Algebra, Leipzig, 1987), ed. J.H. Davenport, volume 378 of Lecture Notes in Computer Science pages 34-43. Springer-Verlag, Berlin and Heidelberg (1989).
M. A. H. MacCallum
Computer algebra in research and teaching
In Proceedings of the sixth annual Algebra Conference of Victoria, ed. G. Clarke, P. Higgins, and K. Horadam, Department of Mathematics Technical Report No.1, 1989 pages 61-76. Royal Melbourne Institute of Technology, Melbourne (1989)
Available on line .
M. A. H. MacCallum
George Cunliffe McVittie (1904-1988)
Quarterly Journal of the Royal Astronomical Society 30(3), 119-122 (1989)
Obituary.
M. A. H. MacCallum
Pocket calculus
Physics World 2(June), 27-29 (1989).
H. Stephani
Differential equations -- Their solutions using symmetries
Cambridge University Press, New York and London (1989)
ed. M.A.H. MacCallum.
J. Castejon-Amenedo and M. A. H. MacCallum
On finding hypersurface-orthogonal Killing fields
Gen. Rel. Grav. 22(4), 393-415 (1990).
G. C. Joly and M. A. H. MacCallum
Computer-aided classification of the Ricci tensor in general relativity
Class. Quantum Grav. 7, 541-556 (1990).
M. A. H. MacCallum
On ``generalized Kasner" metrics and the solutions of Harris and Zund
Wiss. Zeitschr. FSU Jena, Math.-Naturw. Reihe 39, 102-106 (1990)
Festschrift for E. Schmutzer.
J. Castejon-Amenedo, M. A. H. MacCallum, and V. S. Manko
On event horizons in static vacuum spacetimes
Phys. Lett. A 145, 11-13 (1990).
M. A. H. MacCallum
The GR12 Algebraic computing workshop
In General Relativity and Gravitation, 1989, ed. N. Ashby, D.F. Bartlett, and W. Wyss, pages 113-120. Cambridge University Press, Cambridge, New York and Melbourne (1990).
M. A. H. MacCallum
Computer algebra and exact solutions of the Einstein equations
In Recent developments in gravitation (Proceedings of the ``Relativity Meeting -- 89''), ed. E. Verdaguer, J. Garriga, and J. Cespedes, pages 163-191. World Scientific, Singapore (1990).
J. E. Åman, R. A. D'Inverno, G. C. Joly, and M. A. H. MacCallum
Quartic equations and classification of Riemann tensors in general relativity
Gen. Relativ. Gravit. 23(9), 1023-55 (1991).
M. A. H. MacCallum and F. J. Wright
Algebraic computing with REDUCE
volume 1 of Proceedings of the first Brazilian school on computer algebra, Oxford University Press, Oxford (1991).
M. A. H. MacCallum
Computer-aided classification of geometries in general relativity
In Computer Algebra in Physical Research (IV-th International Conference, Dubna, USSR, 1990): memorial volume for N.N. Govorun, ed. D.V. Shirkov, V.V. Rostovtsev, and V.P. Gerdt, pages 278-287. World Scientific, Singapore (1991).
M. A. H. MacCallum
Computer-aided classification of exact solutions in general relativity
In General relativity and gravitational physics (9th Italian Conference), ed. R. Cianci, R. de Ritis, M. Francaviglia, G. Marmo, C. Rubano, and P. Scudellaro, pages 318-337. World Scientific, Singapore (1991).
M. A. H. MacCallum and S. T. C. Siklos
Algebraically-special hypersurface-homogeneous Einstein spaces in general relativity
J. Geom. Phys. 8, 221-242 (1992).
M. A. H. MacCallum
Gravity is less attractive
Gen. Rel. Grav. 24(4), 461-462 (1992)
April Fool piece.
G. C. Joly, M. A. H. MacCallum, and S. T. C. Siklos
Comment on the `generalized axisymmetric spacetimes' of Bampi and Cianci
Class. Quant. Grav. 9(3), 795-8 (1992).
M. A. H. MacCallum
Computer algebra in gravity - past, present and future
In General Relativity and Relativistic Astrophysics (Proceedings of the 4th Canadian conference), ed. G. Kunstatter, D. Vincent, and J.G. Williams, pages 315-331. World Scientific, Singapore (1992).
M. A. H. MacCallum
Anisotropic and inhomogeneous cosmologies
In The Renaissance of General Relativity and Cosmology (A survey to celebrate the 65th birthday of Dennis Sciama), ed. G. Ellis, A. Lanza, and J.C. Miller, pages 213-233. Cambridge University Press, Cambridge (1993)
Available on line .
J. B. Fonseca Neto, M. J. Rebouças, and M. A. H. MacCallum
Algebraic computing in torsion theories of gravitation
In Proceedings of IMACS Symposium SC-93 on Symbolic Computation: new trends and developments, ed. G. Jacob, N.E. Oussous, and S. Steinberg, pages 103-109. IMACS, Lille (1993).
M. A. H. MacCallum
Report of the non-linear equations group discussion
In ESPhys. Rev.IT Working Group CATHODE first technical report: Proceedings of the Han Workshop, ed. J. Sengier, pages 1-11. Universite Libre, Bruxelles (1993).
M. A. H. MacCallum
ODESOLVE and PSODE
In ESPhys. Rev.IT Working Group CATHODE first technical report: Proceedings of the Han Workshop, ed. J. Sengier, pages 1-11. Universite Libre, Bruxelles (1993).
M. A. H. MacCallum
Inhomogeneous and anisotropic cosmologies
In The origin of structure in the universe, ed. E. Gunzig and P. Nardone, volume 393 of NATO ASI Series C pages 131-159. Kluwer, Dordrecht (1993)
Available on line .
F. M. Paiva, M. J. Rebouças, and M. A. H. MacCallum
On limits of spacetimes -- a coordinate-free approach
Class. Quant. Grav. 10, 1165-1178 (1993)
Available on line .
W. B. Bonnor, J. B. Griffiths, and M. A. H. MacCallum
Physical interpretation of vacuum solutions of Einstein's equations. Part II. Time-dependent solutions
Gen. Rel. Grav. 26, 687-729 (1994).
M. A. H. MacCallum
Relativistic cosmologies
In Deterministic chaos in general relativity, ed. D.W. Hobill, A. Burd, and A. Coley, volume 332 of Nato ASI Series B pages 179-201. Plenum Press, New York (1994).
M. A. H. MacCallum and J. E. F. Skea
SHEEP: a computer algebra system for general relativity
In Algebraic computing in general relativity, ed. M.J. Rebouças and W.L. Roque, volume 2 of Proceedings of the first Brazilian school on computer algebra pages 1-172 and index pp. 361-9. Oxford University Press, Oxford (1994).
P. T. Chruściel, M. A. H. MacCallum, and D. B. Singleton
Gravitational waves in general relativity: XIV. Bondi expansions and the ``polyhomogeneity'' of Scri
Phil. Trans. Roy. Soc. A 350, 113-141 (1995)
Available on line .
M. A. H. MacCallum
Goals of Cathode, overview of problems, research and results
In Cathode Workshop Nijmegen, ed. A. H. M. Levelt, pages 9-14. University of Nijmegen, Department of Mathematics (1995).
M. A. H. MacCallum
Exact inhomogeneous models and their significance for cosmology
In Inhomogeneous cosmological models (Proceedings of the Spanish Relativity Meeting, ERE 94, Mao, Menorca), ed. A. Molina and J.M.M. Senovilla, pages 3-26. World Scientific, Singapore (1995).
M. A. H. MacCallum
Using computer algebra to solve ordinary differential equations
In Studies for computer algebra in industry, vol. 2: Problem solving in practice, ed. A. M. Cohen, L. J. van Gastel, and S. M. Verduyn Lunel, pages 19-41. John Wiley and Sons, Chichester (1995)
(Proceedings of the 1992 SCAFI conference, Amsterdam).
J. B. Fonseca Neto, M. J. Rebouças, and M. A. H. MacCallum
Algebraic computing in torsion theories of gravitation
Mathematics and computers in simulation 42(4-6), 739-748 (1996).
M. A. H. MacCallum
Computer algebra and differential equations
Mathematics and Computers in Simulation 42, 385-386 (1996)
Editorial introduction.
M. A. H. MacCallum
Computer algebra and applications in relativity and gravity
In Recent Developments in Gravitation and Mathematical Physics: Proceedings of the First Mexican School on Gravitation and Mathematical Physics, ed. A. Macias, T. Matos, O. Obregon, and H. Quevedo, pages 3-41. World Scientific, Singapore (1996).
G. Lemaître
L'univers en expansion
Ann. Soc. Sci. Bruxelles A 53, 51 (1933)
Translation by M.A.H. MacCallum, reprinted as GO2 in \em Gen. Rel. Grav. \bf 29, 641-680 (1997), with editorial note and biography by Andrzej Krasiński, pp. 637-40.
N. Dadhich and M. A. H. MacCallum
Report on the Workshop on Classical General Relativity
In Gravitation and cosmology (Proceedings of ICGC-95), ed. S. Dhurandhar and T. Padmanabhan, pages 279-296. Kluwer Academic, Dordrecht (1997).
M. A. H. MacCallum
Closing summary
In Gravitation and cosmology (Proceedings of ICGC-95), ed. S. Dhurandhar and T. Padmanabhan, pages 199-303. Kluwer Academic, Dordrecht (1997).
M. A. H. MacCallum
Solving differential equations by computer algebra
In Differential and Difference Equations and computer algebra: in honour of A.H.M. Levelt, ed. E. Hubbers, pages 23-31. University of Nijmegen, Nijmegen (1997).
M. A. H. MacCallum
Theoretical and mathematical cosmology
In General Relativity and Gravitation: Proceedings of the 14th International Conference, ed. M. Francaviglia, G. Longhi, L. Lusanna, and E. Sorace, pages 503-509. World Scientific, Singapore (1997).
Y.-K. Man and M. A. H. MacCallum
A rational approach to the Prelle-Singer algorithm
J. Symb. Comp. 24, 31-43 (1997).
J. E. Åman, J. B. Fonseca-Neto, M. A. H. MacCallum, and M. J. Rebouças
Riemann-Cartan Space-times of Gödel Type
Class. Quant. Grav. 15, 1089-1101 (1998)
Available on line .
W. B. Bonnor, N. O. Santos, and M. A. H. MacCallum
An exterior for the Gödel spacetime
Class. Quant. Grav. 15, 357-366 (1998)
Available on line .
P. T. Chruściel, J. Jezierski, and M. A. H. MacCallum
Uniqueness of the Trautman-Bondi mass
Phys. Rev. D 58, 084001 (16 pages) (1998)
Available on line .
P. T. Chruściel, J. Jezierski, and M. A. H. MacCallum
Uniqueness of scalar field energy and gravitational energy in the radiating regime
Phys. Rev. Lett. 80(23), 5052--5055 (1998)
Was: Uniqueness of the mass in the radiating regime
Available on line .
M. A. H. MacCallum
Hypersurface-orthogonal generators of an orthogonally transitive $G_2I$, topological identifications, and axially and cylindrically symmetric spacetimes
Gen. Rel. Grav. 30, 131-150 (1998)
Available on line .
M. A. H. MacCallum
Integrability in tetrad formalisms and conservation in cosmology
In Current Topics in Mathematical Cosmology (Proceedings of the International Seminar), ed. M. Rainer and H.-J. Schmidt, pages 133-142. World Scientific, Singapore (1998)
Available on line .
M. A. H. MacCallum and N. O. Santos
Stationary and static cylindrically symmetric Einstein spaces of the Lewis form
Class. Quant. Grav. 15, 1627-1636 (1998)
Available on line .
F. M. Paiva, M. J. Rebouças, G. S. Hall, and M. A. H. MacCallum
Limits of the energy-momentum tensor in general relativity
Class. Quant. Grav. 15, 1031-41 (1998)
Available on line .
M. A. H. MacCallum
On the classification of the real four-dimensional Lie algebras
In On Einstein's Path: Essays in honor of Engelbert Schucking, ed. A.L. Harvey, pages 299-317. Springer Verlag, New York (1999)
On the enumeration of the real four-dimensional Lie algebras First version circulated as a preprint in 1979.
L. Bel
Les états de radiation et le problème de l'energie en relativité générale
Cah. Phys. 16, 59-80 (1962)
Translation "Radiation states and the problem of energy in general relativity" by M.A.H. MacCallum, printed as GO20 in \em Gen. Rel. Grav. \bf 32(10), 2047-2078 (2000) with editorial note and biography by J.M.M. Senovilla pp. 2043-2046.
M. A. H. MacCallum
Symbolic and algebraic computation
In Encyclopaedia of Computer Science and Technology, ed. A. Kent and J.G. Williams, volume 42, Supplement 27 pages 371-390. Marcel Dekker, New York (2000)
Available on line .
M. A. H. MacCallum
Discrete symmetries of spacetime
Ann. Phys. (Leipzig) 9, SI 125-128 (2000)
This is a special number containing the proceedings of the 1999 Journees Relativistes.
M. A. H. MacCallum, R. Maartens, and P. K. S. Dunsby
Special Issue: Biannual Conference of the South African Relativity Society: Preface
Gen. Rel. Grav. 32, 975-998 (2000)
Special number of Gen. Rel. Grav. containing the proceedings of the 1999 South African Relativity Society honouring the 60th birthday of G.F.R. Ellis, edited by M.A.H. MacCallum, P.K.S. Dunsby and R.A. Maartens.
M. A. H. MacCallum
Workshop 1: Dynamics of the Einstein field equations
Gen. Rel. Grav. 32, 999-1004 (2000)
Special number of Gen. Rel. Grav. containing the proceedings of the 1999 South African Relativity Society honouring the 60th birthday of G.F.R. Ellis, edited by M.A.H. MacCallum, R. Maartens and P.K.S. Dunsby.
A. Z. Petrov
The classification of spaces defining gravitational fields
Scientific Proceedings of Kazan State University (named after V.I. Ulyanov-Lenin), Jubilee (1804-1954) Collection [Uch. Zapiski Kazan Gos. Univ.] 114(8), 55-69 (1954)
First English translation, was at Jet propulsion Lab. California Inst. Tech., Pasadena 1963, "Classification of spaces supporting gravitational fields", Astronautics information translation 29, JPL by M. Karweit. Second translation by J. Jezierski, M.A.H. MacCallum and A.G. Polnarev, reprinted as GO18 in \em Gen. Rel. Grav. \bf 32(8), 1665-1685 (2000) with introduction by M.A.H. MacCallum and biography by A. Gusev pp. 1661-4. Also reprinted as no. 4 in Golden Oldies in General Relativity: Hidden Gems, ed. A. Krasinski, G.F.R. Ellis and M.A.H. MacCallum, Springer, Heidelberg (2013).
I. D. Novikov
R- and T-regions in a spacetime with a spherically symmetric space (in Russian)
Soobscenija GAIS [Communications of the Sternberg State Astronomical Institute] 132(3), 3-42 (1964)
Translated by S.B. Beisekeev and M.A.H. MacCallum, "R- and T-regions in a spacetime with a spherically symmetric space" and reprinted as GO23 in \em Gen. Rel. Grav. \bf 33, 2259-2295 (2001) with editorial note by Andrzej Krasiński and autobiography, pp. 2255-2258 Also reprinted as no. 13 in Golden Oldies in General Relativity: Hidden Gems, ed. A. Krasinski, G.F.R. Ellis and M.A.H. MacCallum, Springer, Heidelberg (2013).
K. Rajesh Nayak, M. A. H. MacCallum, and C. V. Vishveshwara
Black holes in non-flat backgrounds: the Schwarzschild black hole in the Einstein Universe
Phys. Rev. D 63, 024020 (5 pages) (2001)
Available on line .
M. A. H. MacCallum
Computer algebra in general relativity
Int. J. Mod. Phys. A 17, 2707-2710 (2002)
Special issue: Proceedings of the conference on general relativity, cosmology and relativistic astrophysics (Journées Relativistes), ed.\ C. Barrabès and P.A. Hogan.
F. C. Mena and M. A. H. MacCallum
Locally discretely isotropic space-times
In Proceedings of the Ninth Marcel Grossmann Meeting on General Relativity, ed. V.G. Gurzadyan, R.T. Jantzen, and R. Ruffini, page 1976. World Scientific, Singapore (2002).
M. A. H. MacCallum and J. Valiente Kroon
Polyhomogeneous asymptotics in spacetimes
In Talk given in the "Hyperbolic models in astrophysics and cosmology" meeting at the Isaac Newton Institute, June 2003, . Isaac Newton Institute, Cambridge (2003)
Available on line .
M. A. H. MacCallum
Rewriting the exact solutions book (and how we handled the cosmological solutions)
In online proceedings of ``Mathematics of Gravitation II'', Warsaw (2003)
Available on line .
H. Stephani, D. Kramer, M. A. H. MacCallum, C. A. Hoenselaers, and E. Herlt
Exact solutions of Einstein's field equations, 2nd edition
Cambridge University Press, Cambridge (2003)
Corrected paperback edition, 2009.
M. A. H. MacCallum
Editorial introduction to ``Empty space-times admitting a three parameter group of motions'' by A.H. Taub
Gen. Rel. Grav. 36, 2689-95 (2004)
Available on line .
M. A. H. MacCallum
MEMORIAL: Hans Stephani
Gen. Relativ. Gravit. 36, 899-901 (2004).
M. A. H. MacCallum
Finding and using exact solutions of the Einstein equations
In A Century of Relativity Physics (ERE05, the XXVIII Spanish Relativity Meeting), ed. L. Mornas and J.D. Alonso, volume 841 of AIP Conference proceedings pages 129-143. American Institute of Physics, Melville, New York (2006)
Available on line .
M. J. Pareja and M. A. H. MacCallum
Local freedom in the gravitational field revisited
Class. Quant. Grav. 23, 5039-5048 (2006)
Available on line .
M. A. H. MacCallum
On singularities, horizons, invariants, and the results of Antoci, Liebscher and Mihich (Gen. Relativ. Gravit. 38, 15 (2006) and earlier).
Gen. Rel. Grav. 38, 1887-1899 (2006)
Available on line .
M. A. H. MacCallum
Concluding remarks
Gen. Rel. Grav. 38(6), 1129-1134 (2006)
Speech at my 60th birthday conference.
M. A. H. MacCallum, M. Mars, and R. Vera
Stationary axisymmetric exteriors for perturbations of isolated bodies in general relativity, to second order
Phys. Rev. D 75(2), 024017 (19 pp.) (2007)
Available on line .
M. A. H. MacCallum, M. Mars, and R. Vera
Second order perturbations of rotating bodies in equilibrium; the exterior vacuum problem
In Beyond General Relativity, Proceedings of the 2004 Spanish Relativity Meeting 2004 (ERE 2004), ed. Natxo Alonso-Alberca, Enrique Álvarez, Tomás Ortín, and Miguel Ángel Vázquez-Mozo, volume 119 of Colección de Estudios pages 167-172. Ediciones de la Universidad Autónoma de Madrid, Madrid (2007).
L. Herrera, M. A. H. MacCallum, and N. O. Santos
Corrigendum: Cylindrical collapse and gravitational waves
Class. Quant. Grav. 24, 1033 (2007)
Available on line .
G. F. R. Ellis, R. Maartens, and M. A. H. MacCallum
Causality and the speed of sound
Gen. Rel. Grav. 39, 1651-1660 (2007)
Available on line .
A. Di Prisco, L. Herrera, G. Le Denmat, M. A. H. MacCallum, and N. O. Santos
Nonadiabatic charged spherical gravitational collapse
Phys. Rev. D. 76, 064017 (9 pages) (2007)
Available on line .
A. Di Prisco, L. Herrera, M. A. H. MacCallum, and N. O. Santos
Shearfree cylindrical gravitational collapse
Phys. Rev. D 80, 064031 (2009)
DOI: 10.1103/PhysRevD.80.064031
Available on line .
M. A. H. MacCallum and A. V. Mikhailov (eds.)
Algebraic Theory of Differential Equations
LMS Lecture Notes series, Cambridge University Press, Cambridge (2009).
A. A. Coley, S. Hervik, W. C. Lim, and M. A. H. MacCallum
Properties of kinematic singularities
Class. Quantum Grav. 26, 215008 (2009)
Available on line .
J. Gariel, M. A. H. MacCallum, G. Marcilhacy, and N. O. Santos
Kerr Geodesics, the Penrose Process and Jet Collimation by a Black Hole
Astron. Astrophys. 515, A15-19 (2010)
Available on line .
M. A. H. MacCallum
Editorial note to: T. Levi-Civita, The physical reality of some normal spaces of Bianchi and to: Einsteinian $ds^2$ in Newtonian fields IX: The analog of the logarithmic potential
Gen. Rel. Grav. 43, 2297-2306 (2011).
G. F. R. Ellis, R. Maartens, and M. A. H. MacCallum
Relativistic cosmology
Cambridge University Press, Cambridge (2012).
M. A. H. MacCallum
Mathematics in security and intelligence
Science in Parliament 69(2), 21-26 (2012)
Contribution to 'Mathematics Matters', a session organised by the Parliamentary and Scientific Committee with the Council for the Mathematical Sciences, on 15 March 2012. Reprinted in Mathematics Today, vol 48, no. 4, p. 160.
A. Krasinski, G. F. R. Ellis, and M. A. H. MacCallum (editors)
Golden Oldies in General Relativity: Hidden Gems
Springer, Heidelberg (2013).
M. A. H. MacCallum
Exact solutions of Einstein's field equations
Scholarpedia 8(12), 8584 (2013)
Available on line .
M. A. H. MacCallum and W. Kundt
Editorial note to: Pascual Jordan, Jürgen Ehlers and Rainer K. Sachs, Contributions to the theory of pure gravitational radiation. Exact solutions of the field equations of the general theory of relativity II
Gen. Relativ. Gravit. 45, 2683-2689 (2013).
A. Ashtekar, B. K. Berger, J. Isenberg, and M. A. H. MacCallum
General Relativity and Gravitation: A Centennial Perspective
(2014)
Editorial introductions from the Cambridge University Press book
Available on line .
M. A. H. MacCallum
Reflections on the geometrization of physics
In Mathematical Structures of the Universe, ed. M. Eckstein, M. Heller, and S.J. Szybka, pages 389-406. Copernicus Center Press, Krakow (2014).
M. M. Akbar and M. A. H. MacCallum
Static axisymmetric Einstein equations in vacuum: symmetry, new solutions and Ricci solitons
Phys. Rev.D 92, 063017 (2015)
Available on line .
A. Ashtekar, B. K. Berger, J. Isenberg, and M. A. H. MacCallum (eds.)
General Relativity and Gravitation: A Centennial Perspective
Cambridge University Press, Cambridge (2015)
Paperback edition (2020) also available.
T. Buchert, M. Carfora, G. F. R. Ellis, E. W. Kolb, M. A. H. MacCallum, J. J. Ostrowski, S. Räsänen, B. F. Roukema, L. Andersson, A. A. Coley, and D. L. Wiltshire
Is there proof that backreaction of inhomogeneities is irrelevant in cosmology?
Class. Quantum Grav. 32, 215021 (2015)
See also commentary at http://cqgplus.com/2016/01/20/the-universe-is-inhomogeneous/
Available on line .
H. Goenner and M. A. H. MacCallum
Ludwig Flamm (1885-1964) -- a brief biography
Gen. Relativ. Gravit. 47, 72 (2015)
Part of the Editorial note and biography for the republication of ``Contributions to Einstein's theory of gravitation'' (by Ludwig Flamm).
M. A. H. MacCallum
Beyond the standard model
In General Relativity and Gravitation: A Centennial Perspective, ed. A. Ashtekar, B. K. Berger, J. Isenberg, and M. A. H. MacCallum, pages 221-232. Cambridge University Press, Cambridge (2015).
M. A. H. MacCallum
Einstein's field equations
In The Princeton Companion to Applied Mathematics, ed. N. J. Higham, M. R. Dennis, P. Glendinning, P. A. Martin, F. Santosa, and J. Tanner, pages 144-145. Princeton University Press, Princeton (2015).
M. A. H. MacCallum
Milestones of general relativity: Hubble's law (1929) and the expansion of the universe
Class. Quantum Grav. 32, 124003 (2015)
http://stacks.iop.org/0264-9381/32/124002
Available on line .
M. A. H. MacCallum
A century of general relativity
Mathematics Today 51(5), 215-222 (2015)
Semi-popular review.
M. A. H. MacCallum
Spacetime invariants and their uses
In Proceedings of the International Conference on Relativistic Astrophysics, Lahore, February 2015, ed. M. Sharif, pages 122-128. Punjab University Press, Lahore (2015)
The complete proceedings are available for downloading at http://icra.pu.edu.pk/ProceedingsFinal.pdf
Available on line .
M. A. H. MacCallum
Bounds on physics and cosmology
(2015)
Videoed lecture delivered on 9th May 2014 at the Copernicus Centre, Krakow, in the 18th Cracow Methodological Conference: The Limits of Physics and Cosmology. Only available as a video.
Available on line .
D. Brooks, P. C. Chavy-Waddy, A. A. Coley, A. Forget, D. Gregoris, M. A. H. MacCallum, and D. D. McNutt
Cartan Invariants as Event Horizon Detectors
Gen. Relativ. Gravit. 50, 37 (2018)
This version was an ``Editor's choice" in the journal. A more detailed version is available online.
M. A. H. MacCallum
Computer algebra in gravity research
Living Reviews in Relativity 21, 6 (2018)
Available on line .
F. De Paolis, I. Hussain, M. A. H. MacCallum, and A. Qadir
Editorial (Preface of the Special Issue: Proceedings of the Sixth Italian-Pakistani Workshop on Relativistic Astrophysics)
Int. J. Mod. Phys. D 28(16), 2002001 (2019).
M. A. H. MacCallum
Singularity studies: a bystander’s view
Talk write-up, Queen Mary University of London (2019)
Talk given at the Sixth Italian-Pakistani Workshop on Relativistic Astrophysics, Islamabad, January 2019. Not included in the Proceedings
Available on line .
M. A. H. MacCallum
Invariants, singularities and horizons
Int. J. Mod. Phys. D 28(16), 2040002 (2019).
M. A. H. MacCallum
Totally symmetrized spinors and null rotation invariance
Class. Quantum Grav. 37, 195011 (2020)
Available on line .
M. A. H. MacCallum
Spacetimes with continuous local isotropies I: spatial rotations
Gen. Relativ. Gravit. 53(6), 57 (2021)
Available on line .
M. A. H. MacCallum
Spacetimes with continuous local isotropies II: boosts
Gen. Relativ. Gravit. 53(6), 61 (2021)
Available on line .
M. A. H. MacCallum
Spacetimes with continuous local isotropies III: null rotations
Gen. Relativ. Gravit. 53, 96 (2021)
Available on line .
G. F. R. Ellis and M. A. H. MacCallum
Editorial note to: A threedimensional formulation of the Bianchi identities for vacuum gravitational fields by Manfred Trümper
Gen. Relativ. Gravit. 53, 111 (2021).
M. A. H. MacCallum
Spacetimes with continuous local isotropy
Preprint, QMUL (2022)
To appear in a special number of Int. J. Mod. Phys. D for the 4th Punjab University Conference on Gravitation and Cosmology, PUICGC4.