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Gravitation theory as theory of non-Lorentzian transformations of the systems of reference

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Abstract

According to the programme of Einstein as discussed with Abraham, gravitation can be described by the bending of the systems of inertia in special relativity. This bending means non-Lorentzian transformations of the systems of reference, depending on the point in space-time. Einstein's equations for the metric imply equations for the transformation matrix, which are also of the same structure.

The non-Lorentzian transformations of the reference systems of a manifold can lead to a general map of the set of metrics into the set of vacuum metrics on the same manifold. Resulting new aspects in problems of gravitation theory are discussed.

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Authors and Affiliations

  1. Zentralinstitut für Astrophysik der Deutschen Akademie der Wissenschaften zu Berlin, Deutschland

    D. -E. Liebscher & H. -J. Treder

Authors
  1. D. -E. Liebscher
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  2. H. -J. Treder
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Liebscher, D.E., Treder, H.J. Gravitation theory as theory of non-Lorentzian transformations of the systems of reference. Gen Relat Gravit 1, 117–125 (1970). https://doi.org/10.1007/BF00756890

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  • DOI: https://doi.org/10.1007/BF00756890

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