Malcolm A. H. Maccallum

Malcolm A. H. Maccallum's AcademicInfluence.com Rankings

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Malcolm A. H. Maccallum's Published Works

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Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Exact Solutions of Einstein's Field Equations (2003) (2060)
A class of homogeneous cosmological models (1969) (679)
Twistor theory: An approach to the quantisation of fields and space-time (1973) (546)
SEMI‐RIEMANNIAN GEOMETRY With Applications to Relativity (1984) (445)
Exact Solutions of Einstein's Field Equations: List of tables (2003) (201)
Relativistic Cosmology: The standard model and extensions (2012) (195)
A class of homogeneous cosmological models III: Asymptotic behaviour (1971) (193)
Nonadiabatic charged spherical gravitational collapse (2007) (148)
Is there proof that backreaction of inhomogeneities is irrelevant in cosmology? (2015) (136)
Anisotropic and inhomogeneous relativistic cosmologies. (1979) (94)
Causality and the speed of sound (2007) (94)
Cosmological models from a geometric point of view (2020) (89)
Exact solutions of Einstein's equations (1981) (87)
General Relativity and Gravitation: A Centennial Perspective (2014) (83)
Exact Solutions of Einstein's Field Equations: Notation (2003) (80)
Variational principles and spatially-homogeneous universes, including rotation (1972) (67)
A class of homogeneous cosmological models (1970) (63)
Shearfree cylindrical gravitational collapse (2009) (61)
Algebraically independent nth derivatives of the Riemannian curvature spinor in a general spacetime (1986) (58)
A Rational Approach to the Prelle-Singer Algorithm (1997) (57)
On the Classification of the Real Four-Dimensional Lie Algebras (1999) (51)
TRANSFORMATION GROUPS APPLIED TO MATHEMATICAL PHYSICS (Mathematics and Its Applications (Soviet Series)) (1986) (51)
On event horizons in static vacuum spacetimes (1990) (49)
Uniqueness of the Trautman-Bondi mass (1998) (48)
On limits of spacetimes-a coordinate-free approach (1993) (48)
The averaged Lagrangian and high-frequency gravitational waves (1973) (47)
On determining the isometry group of a riemannian space (1982) (40)
Kerr geodesics, the Penrose process and jet collimation by a black hole (2007) (38)
Stationary and static cylindrically symmetric Einstein spaces of the Lewis form (1997) (37)
Hypersurface-Orthogonal Generators of an Orthogonally Transitive G2I, Topological Identifications, and Axially and Cylindrically Symmetric Spacetimes (1997) (35)
Computer-aided classification of the Ricci tensor in general relativity (1990) (32)
An exterior for the Gödel spacetime (1997) (30)
Classifying Metrics in Theory and Practice (1983) (30)
Cartan invariants and event horizon detection (2017) (29)
Static and stationary 'cylindrically symmetric' Einstein-Maxwell fields, and the solution of Van den Bergh and Wils (1983) (29)
Computer algebra in gravity research (2018) (26)
Algebraic computing with REDUCE (1992) (25)
Black holes in nonflat backgrounds: the Schwarzschild black hole in the Einstein Universe (2000) (22)
On the matching conditions for the collapsing cylinder (2006) (21)
Riemann - Cartan spacetimes of Gödel type (1997) (19)
Computer algebra and differential equations (1996) (19)
Physical interpretation of vacuum solutions of Einstein's equations. Part II. Time-dependent solutions (1994) (18)
Anisotropic stresses in homogeneous cosmologies (1970) (18)
Algebraic computing in general relativity : lecture notes from the First Brazilian School on Computer Algebra (1994) (17)
Relativistic Cosmology: Kinematics of cosmological models (2012) (16)
Spacetime invariants and their uses (2015) (16)
The mathematics of anisotropic spatially-homogeneous cosmologies (1979) (15)
Quartic equations and classification of Riemann tensors in general relativity (1991) (14)
Exact Solutions of Einstein's Field Equations: Stationary axisymmetric fields: basic concepts and field equations (2003) (14)
Mixmaster Universe Problem (1971) (13)
On “diagonal” Bianchi cosmologies (1972) (13)
Cartan Invariants and Event Horizon Detection, Extended Version. (2017) (13)
Integrability in tetrad formalisms and conservation in cosmology (1998) (13)
An Ordinary Differential Equation Solver for Reduce (1988) (12)
Relativistic Cosmology for Astrophysicists (1982) (11)
On the ambiguous evolution and the production of matter in spacetimes with colliding waves (1989) (11)
On an axisymmetric solution of the vacuum Einstein equations for a stationary rotating mass (1989) (11)
Algebraic theory of differential equations (2008) (10)
Limits of the energy - momentum tensor in general relativity (1997) (10)
Finding and using exact solutions of the Einstein equations (2006) (10)
On singularities, horizons, invariants, and the results of Antoci, Liebscher and Mihich (Gen Relativ Gravit 38, 15 (2006) and earlier) (2006) (9)
On some Einstein-Maxwell fields of high symmetry (1985) (9)
Algebraic computing in torsion theories of gravitation (1996) (9)
Properties of kinematic singularities (2009) (9)
Proceedings of the international symposium on Symbolic and algebraic computation (1994) (9)
Stationary axisymmetric exteriors for perturbations of isolated bodies in general relativity, to second order (2006) (8)
Symbolic computation in relativity theory (1987) (8)
Computer Algebra and Applications in Relativity and Gravity (1996) (8)
Galaxies, Axisymmetric Systems and Relativity (2011) (8)
On the general solution for a 'diagonal' vacuum Bianchi type III model with a cosmological constant (1982) (7)
Differential equations: Introduction (1990) (7)
Locally Isotropic Space–Times with Nonnull Homogeneous Hypersurfaces (1980) (7)
Algebraic computing with REDUCE : lecture notes from the First Brazilian School on Computer Algebra (1991) (7)
Exact Solutions of Einstein's Field Equations: Vector fields (2003) (7)
Comment on "a Class of Bianchi Type VI Cosmological Models with - Magnetic Field" by Dunn and Tupper (1977) (7)
Local freedom in the gravitational field revisited (2006) (6)
Editor's Note: The Classification of Spaces Defining Gravitational Fields (2000) (6)
Quartic Equations and Algorithms for Riemann Tensor Classification (1984) (6)
Milestones of general relativity: Hubble’s law (1929) and the expansion of the universe (2015) (6)
Galaxies, axisymmetric systems and relativity : essays presented to W.B. Bonnor on his 65th birthday (1985) (6)
Algebraically special hypersurface-homogeneous Einstein spaces in general relativity (1992) (6)
COMPUTER ALGEBRA IN GENERAL RELATIVITY (2002) (6)
Algebraic Computing in Relativity (1986) (5)
Classical general relativity. Proceedings of the conference on classical (non-quantum) general relativity, held at City University, London,UK, 21 - 22 December 1983. (1984) (5)
On finding hypersurface orthogonal Killing fields (1990) (5)
Uniqueness of Scalar Field Energy and Gravitational Energy in the Radiating Regime (1998) (5)
Totally symmetrized spinors and null rotation invariance (2020) (5)
The physical reality of some normal spaces of Bianchi and to : Einsteinian ds 2 in Newtonian fields . IX : The analog of the logarithmic potential (2011) (5)
Editorial note to: T. Levi-Civita, The physical reality of some normal spaces of Bianchi and to: Einsteinian ds2 in Newtonian fields. IX: The analog of the logarithmic potential (2011) (5)
Exact Solutions of Einstein's Field Equations: The line element for metrics with k = σ = 0 = R 11 = R 14 = R 44, Θ +iω ≠ 0 (2003) (4)
Progress on the Equivalence Problem (1985) (4)
Exact solutions in cosmology (1984) (4)
Anisotropic and inhomogeneous cosmologies (1992) (4)
Exact Solutions of Einstein's Field Equations: Application of generation techniques to general relativity (2003) (4)
Inhomogeneous and anisotropic cosmologies (1992) (4)
Exact Solutions of Einstein's Field Equations: Non-empty stationary axisymmetric solutions (2003) (4)
Static axisymmetric Einstein equations in vacuum: Symmetry, new solutions, and Ricci solitons (2015) (4)
Correction to: Cartan invariants and event horizon detection (2020) (4)
Exact Solutions of Einstein's Field Equations: Twisting Einstein–Maxwell and pure radiation fields (2003) (4)
The breakdown of physics? (1975) (4)
Comments on the performance of algebra systems in general relativity and a recent paper by Nielsen and Pedersen (1989) (4)
Locally Discretely Isotropic Space-Times (2002) (3)
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 (2013) (3)
Richard Arnowitt, Stanley Deser and Charles W. Misner 1962, the dynamics of general relativity (2013) (3)
Mathematical Cosmology: An Introduction and Cosmology (1978) (3)
Second order perturbations of rotating bodies in equilibrium; the exterior vacuum problem (2005) (3)
Spacetimes with continuous linear isotropies I: spatial rotations (2021) (3)
On criteria of cosmological spatial homogeneity (1972) (2)
Uniqueness of the mass in the radiating regime (1998) (2)
Comment on the 'generalized axisymmetric spacetimes' of Bampi and Cianci (1992) (2)
General relativity and gravitation : proceedings of the 11th International Conference on General Relativity and Gravitation, Stockholm, July 6-12 1986 (1987) (2)
Factorization of Linear Systems (2008) (2)
Exact Solutions of Einstein's Field Equations: Spatially-homogeneous perfect fluid cosmologies (2003) (1)
Exact Solutions of Einstein's Field Equations: Classification of the Ricci tensor and the energy-momentum tensor (2003) (1)
Exact Solutions of Einstein's Field Equations: Special vector and tensor fields (2003) (1)
GOLDEN OLDIE: Editor's Note: Empty Space-Times Admitting a Three Parameter Group of Motions, by A. H. Taub (2004) (1)
The GR8 Symposium on Singularities in General Relativity. held in Waterloo, Canada, on August 10, 1977, as part of the Eighth International Conference on General Relativity and Gravitation. (1979) (1)
Spacetimes with continuous linear isotropies II: boosts (2021) (1)
Golden Oldies in General Relativity (2013) (1)
Gravity is less attractive (1992) (1)
General relativity and gravitation (1987) (1)
Quantum cosmological models. (1975) (1)
Algebraic Theory of Differential Equations: Preface (2008) (1)
Differential equations: Preface (1990) (1)
Cartan invariants and event horizon detection (2018) (1)
Exact Solutions of Einstein's Field Equations: Introduction (2003) (1)
Exact Solutions of Einstein's Field Equations: Kerr–Schild metrics (2003) (1)
Report on the Workshop on Classical General Relativity (1997) (1)
Spacetimes with continuous linear isotropies I: spatial rotation invariance (2021) (1)
Understanding the solutions of Einstein's equations (1985) (1)
The Melnick–Tabensky solutions have high symmetry (1982) (1)
Differential equations: Lie–Bäcklund transformations (1990) (1)
Differential equations: Second order differential equations admitting more than two Lie point symmetries (1990) (1)
A homogeneous Universe? (1975) (1)
Anatomists of Empire – Race, Evolution and the Discovery of Human Biology in the British World. Ross L.Jones (Australian Scholarly Publishing, 2020). ISBN: 978‐1‐925984‐70‐5 (2020) (1)
Differential equations: How to use Lie point symmetries of partial differential equations I: generating solutions by symmetry transformations (1990) (0)
Spacetimes with continuous linear isotropies III: null rotations (2021) (0)
Relativistic Cosmology: Inhomogeneous models (2012) (0)
Wolfgang Kundt’s seminar notes (1957), the Bianchi classification of 3-D spatial symmetry groups by the method of Schücking (2013) (0)
Jürgen Ehlers 1961, kinematics and dynamics of relativistic fluids. (2013) (0)
Exact Solutions of Einstein's Field Equations: Solutions with special subspaces (2003) (0)
Rewriting the exact solutions book (2003) (0)
On the pulsating universe of Sengupta (1971) (0)
Confronting the Standard Model with observations (2012) (0)
Theoretical difficulties with the binary pulsar? (1979) (0)
Differential equations: Solutions to some of the more difficult exercises (1990) (0)
Relativistic Cosmology: Classical physics and gravity (2012) (0)
Memorial: Hans Stephani (2004) (0)
Exact Solutions of Einstein's Field Equations: Differential geometry without a metric (2003) (0)
Aleksey Petrov 1954, algebraic classification of the Weyl tensor (2013) (0)
Differential equations: How to use Lie point symmetries: differential equations with one symmetry (1990) (0)
Differential equations: Higher order differential equations admitting more than one Lie point symmetry (1990) (0)
Spacetimes with continuous local isotropies (2022) (0)
Differential equations: Symmetries more general than Lie point symmetries (1990) (0)
Editorial: Golden Oldies criteria and procedures (2017) (0)
Differential equations: Some basic properties of Lie algebras (1990) (0)
Editorial note to: Wolfgang Kundt and Manfred Trümper, Contributions to the theory of gravitational radiation fields. Exact solutions of the field equations of the general theory of relativity V (2016) (0)
Exact Solutions of Einstein's Field Equations: Preface (2003) (0)
Editorial: Golden Oldies criteria and procedures (2017) (0)
Differential equations: How to find and use dynamical symmetries for systems possessing a Lagrangian (1990) (0)
Appendix: Some useful formulae (2012) (0)
Unifying the forces of nature (1980) (0)
Computer algebra in gravity research (2018) (0)
Exact Solutions of Einstein's Field Equations: References (2003) (0)
Exact Solutions of Einstein's Field Equations: Groups on null orbits. Plane waves (2003) (0)
Roy Patrick Kerr and Alfred Schild 1965, derivation of the Kerr solution from the Einstein equations (2013) (0)
Observations in cosmological models (2012) (0)
Exact Solutions of Einstein's Field Equations: Collision of plane waves (2003) (0)
Exact Solutions of Einstein's Field Equations: Groups G 2 I on spacelike orbits: cylindrical symmetry (2003) (0)
Editorial (2019) (0)
Exact Solutions of Einstein's Field Equations: The Petrov classification (2003) (0)
Global Behavior of Solutions to Einstein's Equations (2015) (0)
Karl Stellmacher 1938, the Cauchy problem for the Einstein equations (2013) (0)
Supplementary material from "Martin David Kruskal. 28 September 1925 — 26 December 2006" (2017) (0)
Exact Solutions of Einstein's Field Equations: Stationary gravitational fields (2003) (0)
Differential equations: Systems of first order differential equations with a fundamental system of solutions (1990) (0)
Exact Solutions of Einstein's Field Equations: Inhomogeneous perfect fluid solutions with symmetry (2003) (0)
Exact Solutions and Singularities Report of Workshop A2 (1984) (0)
Władysław Ślebodziński 1931, the definition of the Lie derivative (2013) (0)
Exact Solutions of Einstein's Field Equations: Twisting vacuum solutions (2003) (0)
The structure of the universe: By Jayant Narlikar. Pp. 264 Oxford University Press, London. 1977. Hard bound £4.25; Flexi cover £1.95 (1977) (0)
General Relativity and Gravitation, 1989: Algebraic computing (1990) (0)
Differential equations: Lie point transformations and symmetries (1990) (0)
Differential equations: Contact transformations and contact symmetries of partial differential equations, and how to use them (1990) (0)
Dynamics of cosmological models (2012) (0)
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 (2013) (0)
THERMODYNAMICS AND COSMOLOGY. (1970) (0)
Exact Solutions of Einstein's Field Equations: Local isometric embedding of four-dimensional Riemannian manifolds (2003) (0)
50 75 v 1 1 2 M ay 2 00 6 Local freedom in the gravitational field revisited (2006) (0)
Relativistic Cosmology: Conclusion: our picture of the universe (2012) (0)
The nature of cosmology (2012) (0)
Exact Solutions of Einstein's Field Equations: Groups G 3 on non-null orbits V 2. Spherical and plane symmetry (2003) (0)
Differential equations: How to use Lie–Bäcklund symmetries (1990) (0)
Myron Mathisson 1931 + 1937, equations of motion of particles with spin (2013) (0)
Differential equations: How to determine the point symmetries of partial differential equations (1990) (0)
Exact Solutions of Einstein's Field Equations: Classification of solutions with isometries or homotheties (2003) (0)
Differential equations: How to use Lie point symmetries: second order differential equations admitting a G2 (1990) (0)
Relativistic cosmological models. (1985) (0)
N ov 1 99 7 An exterior for the Gödel spacetime (2008) (0)
The list of Golden Oldies published so far (2013) (0)
Differential equations: Systems of second order differential equations (1990) (0)
Exact Solutions of Einstein's Field Equations: Invariants and the characterization of geometries (2003) (0)
Concluding remarks (2006) (0)
Quantum gravity and the start of the universe (2012) (0)
Martin David Kruskal: a biographical memoir (2017) (0)
Exact Solutions of Einstein's Field Equations: Non-diverging solutions (Kundt's class) (2003) (0)
A Class of Homogeneous Cosmologieal Models (2004) (0)
Differential equations: How to find the Lie point symmetries of an ordinary differential equation (1990) (0)
Exact Solutions of Einstein's Field Equations: Homogeneous space-times (2003) (0)
Lie–Bäcklund symmetries and how to find them (1990) (0)
Idiosyncratic Astrophysics (1973) (0)
Exact Solutions of Einstein's Field Equations: Stationary axisymmetric vacuum solutions (2003) (0)
Relativistic Cosmology: Light-cone approach to relativistic cosmology (2012) (0)
Differential equations: How to use Lie point symmetries of partial differential equations II: similarity variables and reduction of the number of variables (1990) (0)
Relativistic Cosmology: References (2012) (0)
Spacetimes with continuous linear isotropies II : Boost invariance (2021) (0)
Relativistic Cosmology: Acceleration from dark energy or modified gravity (2012) (0)
Exact Solutions of Einstein's Field Equations: Groups G 2 and G 1 on non-null orbits (2003) (0)
Relativistic Cosmology: Structure formation and gravitational lensing (2012) (0)
Symmetries and the separability of partial differential equations (1990) (0)
Differential equations: Lie point symmetries of ordinary differential equations: the basic definitions and properties (1990) (0)
Intangible gravitational energy made manifest (1990) (0)
Workshop 1: Dynamics of the Einstein Field Equation (2000) (0)
On Ambiguous Evolution and Production of Matter in Space-Times with Colliding Waves (1989) (0)
On the geometry of the Zel'manov-Grishchuk cosmological homogeneity criterion (1982) (0)
Relativistic Cosmology: ‘Acceleration’ from large-scale inhomogeneity? (2012) (0)
Relativistic Cosmology: Spatially homogeneous anisotropic models (2012) (0)
Exact Solutions of Einstein's Field Equations: The Newman–Penrose and related formalisms (2003) (0)
Gravity experiments (1976) (0)
BOOK REVIEW: Introduction to Spacetime, by B. Laurent (1997) (0)
Einstein's Triumph (2015) (0)
‘Acceleration’ from small-scale inhomogeneity? (2012) (0)
Differential equations: Dynamical symmetries: the basic definitions and properties (1990) (0)
On the Editorship of the Journal of General Relativity and Gravitation (2005) (0)
Differential Equations: A short guide to the literature (1990) (0)
Perturbations of FLRW universes (2012) (0)
Introduction to D-modules (2008) (0)
Exact Solutions of Einstein's Field Equations: Generation techniques (2003) (0)
Joshua N. Goldberg and Rainer K. Sachs 1962, connection between the Petrov types and the existence of geodesic-shearfree null congruences (2013) (0)
Exact Solutions of Einstein's Field Equations: Algebraically special perfect fluid solutions (2003) (0)
Gravitation but no levitation (1977) (0)
Exact Solutions of Einstein's Field Equations: Hypersurface-homogeneous space-times (2003) (0)
Hans Thirring and Josef Lense 1918 – 1921, Machian effects in rotating matter (2013) (0)
General Relativity and Gravitation: Gravity is Geometry, after all (2015) (0)
Editorial note to: Manfred Trümper, A threedimensional formulation of the Bianchi identities for vacuum gravitational fields (2021) (0)
Differential equations: Point transformations and their generators (1990) (0)
On the Description of High-Frequency Gravitational Waves (1974) (0)
Exact Solutions of Einstein's Field Equations: Continuous groups of transformations; isometry and homothety groups (2003) (0)
Igor D. Novikov 1964, geometrical interpretation of spherically symmetric manifolds, the Schwarzschild solution among them (2013) (0)
New Window on the Universe: Gravitational Waves (2015) (0)
Exact Solutions of Einstein's Field Equations: Spherically-symmetric perfect fluid solutions (2003) (0)
Invariants, singularities and horizons (2019) (0)
Hidekazu Nariai 1950 + 1951, spherically symmetric solutions in vacuum that have no Newtonian limit (2013) (0)
A Century of General Relativity (2015) (0)
Relativistic Cosmology: Matter in the universe (2012) (0)
Book-Review - Galaxies Axisymmetric Systems and Relativity (1986) (0)
Relativistic Cosmology: The space of cosmological models (2012) (0)
Differential equations: How to use Lie point symmetries of partial differential equations III: multiple reduction of variables and differential invariants (1990) (0)
Exact Solutions of Einstein's Field Equations: Robinson–Trautman solutions (2003) (0)
Martin David Kruskal. 28 September 1925—26 December 2006 (2018) (0)
Relativistic Cosmology: The cosmic background radiation (2012) (0)
Exact Solutions of Einstein's Field Equations: Some topics in Riemannian geometry (2003) (0)
Ju l 2 00 7 NONADIABATIC CHARGED SPHERICAL GRAVITATIONAL COLLAPSE (2008) (0)
Matvei Bronstein 1936, quantum theory of weak gravitational fields. (2013) (0)
György Szekeres 1960, the maximal analytic extension of the Schwarzschild solution (2013) (0)
3 PART IV : BEYOND EINSTEIN Chapter 10 : Quantum Fields in Curved Spacetimes (2014) (0)
The interconnections between the main classification schemes (2003) (0)
Differential equations: Differential equations and symmetries in the language of forms (1990) (0)
Homogeneous FLRW universes (2012) (0)
Exact Solutions of Einstein's Field Equations: The various classes of algebraically special solutions. Some algebraically general solutions (2003) (0)
Relativistic Cosmology: Cosmology in a larger setting (2012) (0)
Singularity studies: a bystander’s view (2020) (0)
Editorial note to: Wolfgang Kundt and Manfred Trümper, Contributions to the theory of gravitational radiation fields. Exact solutions of the field equations of the general theory of relativity V (2016) (0)

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Malcolm A. H. Maccallum's AcademicInfluence.com Rankings