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    Exact solutions of
    Einstein's equations

    Scholarpedia, 8(12):8584. (2013)

    Malcolm A.H. MacCallum

    Dr. Malcolm A. H. MacCallum is an emeritus professor in Applied Mathematics at Queen Mary University of London, London, UK. He is the deputy president of the International Society of General Relativity and Gravitation for 2013-2016. He also holds the chair of the advisory board at University of York Mathematics Department. He has held various positions in different capacities at several universities/institutes throughout his career. Most notably, Dr. MacCallum has served as the director of the Heilbronn Institute for Mathematical Research (2009-2012) and was the president of the International Society of General Relativity and Gravitation (2010-2013).

    Dr. MacCallum was educated at King's College, Cambridge where he obtained distinction in Part III of the Mathematical tripos (1967) and received M.A. in 1970. He continued at Cambridge for his doctoral work with the late Dennis Sciama and subsequently under George Ellis. He was awarded Ph.D. in 1971 on spatially-homogeneous relativistic cosmological models. Dr. MacCallum's research interests are in classical non-Newtonian gravity theory, particularly in anisotropic and/or inhomogeneous cosmologies (especially Bianchi cosmologies), exact solutions of the Einstein equations, theory of gravitational waves, black holes, and asymptotics. He has authored (with Roger Penrose) a highly acclaimed review on twistor theory. Dr. MacCallum has also worked extensively on the applications of algebraic computing.

    Dr. MacCallum has over 140 research publications to his credit. He is one of the authors of the book titled Exact Solutions of Einstein's Field Equations which is regarded as a classic text on Classical General Relativity. He has also written parts of the widely-distributed computer algebra system for relativity, SHEEP/CLASSI, and a simple ODE solver for REDUCE.

    Details about his research interests can be found here.

    Each week Scholarpedia recognizes a different contributing author by featuring a short bio of them on the home page.

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      Strongly Correlated Electrons in Solids

      Henri Alloul (2014), Scholarpedia, 9(7):32067.

      Most emergent properties of the materials discovered since the 1980's are related to the existence of electron-electron interactions which are large with respect to... more Icon more.png

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      Quantum chaotic scattering

      Pierre Gaspard (2014), Scholarpedia, 9(6):9806.

      Quantum chaotic scattering refers to the scattering of quantum-mechanical or other waves in deterministic systems without quenched disorder, yet manifesting... more Icon more.png

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      The MOND paradigm of modified dynamics

      Mordehai Milgrom (2014), Scholarpedia, 9(6):31410.

      MOND is an alternative paradigm of dynamics, seeking to replace Newtonian dynamics and general relativity. It aims to account for the ubiquitous mass discrepancies in... more Icon more.png

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      Period doubling

      Charles Tresser et al. (2014), Scholarpedia, 9(6):3958.

      A period-doubling bifurcation corresponds to the creation or destruction of a periodic orbit with double the period of the original orbit. These bifurcations are... more Icon more.png

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      Coupled maps

      Kunihiko Kaneko and Tatsuo Yanagita (2014), Scholarpedia, 9(5):4085.

      A coupled map consists of an ensemble of elements of given discrete-time dynamics ("map") that interact ("couple") with other elements from a suitably chosen set... more Icon more.png

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