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Bivector Formalism in General Relativity

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Frontiers in General Relativity

Part of the book series: Lecture Notes in Physics ((LNP,volume 984))

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Abstract

The use of bivectors, or skew symmetric tensors, is a powerful research tool in general relativity. Such objects arise naturally in the context of electromagnetism. We therefore introduce them via electromagnetic test fields on arbitrary space-times. All details are provided including an important application to electromagnetic radiation due to Ivor Robinson. This is followed by the extension of bivector theory to gravitational fields. An explicit illustration of their use in relation to Kerr space-time is given.

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Authors and Affiliations

  1. School of Physics, University College Dublin, Dublin, Ireland

    Peter A. Hogan

  2. Center of Applied Space Technology and Microgravity, University of Bremen, Bremen, Germany

    Dirk Puetzfeld

Authors
  1. Peter A. Hogan
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  2. Dirk Puetzfeld
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Hogan, P.A., Puetzfeld, D. (2021). Bivector Formalism in General Relativity. In: Frontiers in General Relativity. Lecture Notes in Physics, vol 984. Springer, Cham. https://doi.org/10.1007/978-3-030-69370-1_2

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