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The homogeneous gravitational force field in general relativity

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Abstract

The concept of a gravitational force in General Relativity is reintroduced. The theory of space-like congruences is established and is applied to the discussion of the existence of a homogeneous gravitational force-field in curved space-time. It is shown in vacuum (vanishing Ricci tensor) that such a force-field cannot exist.

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Authors and Affiliations

  1. Department of Mathematics, Queen Elizabeth College, Campden Hill Road, London W.8

    P. A. Goodinson

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  1. P. A. Goodinson
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Goodinson, P.A. The homogeneous gravitational force field in general relativity. Int J Theor Phys 8, 179–182 (1973). https://doi.org/10.1007/BF00680228

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  • DOI: https://doi.org/10.1007/BF00680228

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