Exact Brans-Dicke-Friedmann Robertson-Walker-Bianchi-Kantowski-Sachs vacuum solutions

Astronomy and Astrophysics – Astrophysics

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Astronomical Models, Relativity, Space-Time Functions, Vacuum, Anisotropy, Cosmology, Isotropic Media

Scientific paper

Exact vacuum solutions are derived for the class of spatially homogeneous space-times, in a unified manner, by means of a novel reduction of the Brans and Dicke (1961) vacuum field equations. Exact solutions are given for the isotropic Friedmann-Robertson-Walker models, the anisotropic Bianchi models of types I-IX, and the related, Kantowski-Sachs models. The space-times in question can be interpreted as cosmological models, and it follows that the sourceless scalar field phi is, dynamically, an essential factor which determines the cosmological expansion parameters.

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