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

Physics

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Scientific paper

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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