Exact solutions in Jordan-Brans-Dicke homogeneous universes I
Spatially homogeneous, anisotropic Bianchi types \(I-II-III-V-VI_ 0- VI_ h\) and Kantowski-Sachs (KS) are shown to have perfect fluid solutions in Jordan-Brans-Dicke (JDB) cosmological theory. All the solutions obey the relation \(\epsilon \psi =a\eta^ 2+b\eta +c\), where \(\epsilon\) and \(\psi\) are the re-scaled energy density and the re-scaled 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.
Spatially homogeneous, anisotropic Bianchi types
Jordan-Brans-Dicke (JDB) cosmological theory
scientific article; zbMATH DE number 3980829