On Birkhoff's theorem in the bimetric scalar-tensor theory of gravitation.

Astronomy and Astrophysics – Astrophysics

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Gravitation Theory: Scalar-Tensor Theory

Scientific paper

It is shown that in the most general version of the bimetric scalar-tensor theory of gravitation, a spherically symmetric vacuum gravitational field is static if the gravitational scalar does not depend on time. This result is generalized to certain cases in which a source is present, including an electromagnetic field. Both branches of solutions with a variable and a constant scalar field are considered.

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