On Birkhoff's theorem in Bergmann-Wagoner theory

Details On Birkhoff's theorem in Bergmann-Wagoner theory On Birkhoff's theorem in Bergmann-Wagoner theory

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.159..173v&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 159, no. 1, Sept. 1989, p. 173-176.

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Computation

3

Computational Astrophysics, Electromagnetic Fields, Gravitation Theory, Gravitational Fields, Scalars, Tensor Analysis

Scientific paper

Consideration is given to the relationship between Bergmann's (1968) and Wagoner's (1970) general scalar-tensor theory and Birkhoff's (1927) theorem that every spherically-symmetric vacuum field of gravitation must be static in general relativity. It is established that the time invariance of the scalar field is a sufficient condition for Birkhoff's theorem to hold in the Bergmann-Wagoner theory, both in vacuum and in the presence of an electromagnetic field.

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