Bimetric killing vectors and generation laws in bimetric theories of gravitation

Physics

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Scientific paper

The concept of bimetric Killing vectors is introduced. The set of these vectors allows one to define global mechanical integrals for matter and field separately, and to get conservation laws for the matter quantities and generation laws for the field quantities. It is possible to predict what physical spaces of high mobility are contained in a certain variant of a bimetric theory. The procedure is developed in the framework of Rosen's bimetric theories of gravitation, but it may be applied to a wide class of bimetric theories.

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