Exact solutions in Jordan-Brans-Dicke homogeneous universes

Physics

Scientific paper

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Cosmology, Homogeneity, Space-Time Functions, Universe, Field Theory (Physics), Ideal Fluids

Scientific paper

Spatially homogeneous, anisotropic Bianchi types I-II-III-V-VI(o)-VI(h) and Kantowski-Sachs universes are shown to have perfect fluid solutions in Jordan-Brans-Dicke cosmological theory. All the solutions obey the relation epsilon(psi) = a(eta-squared) + b(eta) + c, where epsilon and psi are the rescaled energy density and the rescaled scalar field, respectively, and eta is a 'time parameter'. This relation is derived in Bianchi type-I and gives rise to the general solution for this model universe. In the remaining Bianchi types this same relation is shown to hold as well; and new solutions, some of which do not possess locally rotational symmetry, are obtained.

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