On the election of the flat metric in the bimetric theory of gravitation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Gravitation Theory, Gravitational Fields, Metric Space, Gravitational Effects, Mass Distribution, Rotating Bodies, Schwarzschild Metric

Scientific paper

The form of the flat-space metric in Rosen's (1974) bimetric theory of gravitation is examined. After a brief review of the metric in the Einstein general theory of relativity, consideration is given to the possible forms of the flat metric in bimetric theories with a spherically symmetric mass distribution in inertial and noninertial frames. The form of the flat metric in the case when it is interconnected with a Schwarzchild metric for the curved space is discussed, and the gravitational fields formed by a static spherically symmetric mass distribution in an arbitrary noninertial frame synchronous with the metric and formed by a uniformly rotating body in a free-falling frame are examined. It is shown that the inclusion of the flat metric allows the separation of gravitational effects from those brought about by the noninertial frame.

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