Scalar-tensor theory of gravitation with negative coupling constant

Physics

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Coupling, Gravitation Theory, Cosmology, Field Theory (Physics), Gravitational Fields, Scalars, Solar Oblateness, Tensors

Scientific paper

The possibility of a Brans-Dicke scalar-tensor gravitation theory with a negative coupling constant is considered. The admissibility of a negative-coupling theory is investigated, and a simplified cosmological solution is obtained which allows a negative derivative of the gravitation constant. It is concluded that a Brans-Dicke theory with a negative coupling constant can be a viable alternative to general relativity and that a large negative value for the coupling constant seems to bring the original scalar-tensor theory into close agreement with perihelion-precession results in view of recent observations of small solar oblateness.

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