A cosmological model in the bimetric gravitation theory

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Cosmology, Field Theory (Physics), Gravitation Theory, Space-Time Functions, Astronomical Models, Astrophysics, Gravitational Constant, Metric Space, Relativity

Scientific paper

In the framework of the bimetric theory of gravitation, a homogeneous isotropic cosmological model is set up having negative spatial curvature (k = -1) and containing matter having negligible pressure. The solutions of the field equations are obtained as expansions in powers of a small parameter, the present value of which can be determined, in principle, from observational data. It appears that its order of magnitude is such that the PPN parameter considered by Lee et al. (1976) is small enough to make the bimetric theory viable. The rate of change with time of the gravitational constant is found to be considerably smaller than the present estimated upper limit.

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