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Foundations of Gravity—Modifications and Extensions

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Modified Gravity and Cosmology

Abstract

The basic foundations and building blocks of General Relativity are discussed with a view to introduce various modifications and extensions of the theory. After a brief discussion of matter couplings, Einstein–Cartan theory and the Teleparallel Equivalent of General Relativity are introduced, these can be seen as the linear extensions. This is followed by nonlinear extensions which include many topical modified theories of gravity currently being studied.

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Notes

  1. 1.

    If the affine connection differs from the Christoffel symbol components by a totally skew-symmetric piece, geodesics and autoparallels would also coincide.

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Authors and Affiliations

  1. Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, United Kingdom

    Christian G. Böhmer

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  1. Christian G. Böhmer
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Correspondence to Christian G. Böhmer .

Editor information

Editors and Affiliations

  1. National Observatory of Athens, Athens, Greece

    Emmanuel N. Saridakis

  2. University of the Basque Country, Leioa, Spain

    Ruth Lazkoz

  3. Institute of Physics, University of Szczecin, Szczecin, Poland

    Vincenzo Salzano

  4. University of Beira Interior, Covilhã, Portugal

    Paulo Vargas Moniz

  5. Università di Napoli Federico II, Napoli, Italy

    Salvatore Capozziello

  6. University of Salamanca, Salamanca, Spain

    Jose Beltrán Jiménez

  7. University of Naples Federico II, Napoli, Italy

    Mariafelicia De Laurentis

  8. University of Valencia, Burjassot, Valencia, Spain

    Gonzalo J. Olmo

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Böhmer, C.G. (2021). Foundations of Gravity—Modifications and Extensions. In: Saridakis, E.N., et al. Modified Gravity and Cosmology. Springer, Cham. https://doi.org/10.1007/978-3-030-83715-0_3

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