Exact solutions in Jordan-Brans-Dicke homogeneous universes I
type: Item
instance of: scholarly article
title: Exact solutions in Jordan-Brans-Dicke homogeneous universes I
zbMATH Open document ID: 0606.76130
DOI: 10.1007/BF00644181
author: B. George
published in: Astrophysics and Space Science
publication date: 1986-01-01T00:00:00Z
review text: 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.
Mathematics Subject Classification ID: 76Y05
Mathematics Subject Classification ID: 83C55
zbMATH DE Number: 3980829
zbMATH Keywords: cosmological solutions
zbMATH Keywords: barotropic state equation
zbMATH Keywords: Spatially homogeneous, anisotropic Bianchi types
zbMATH Keywords: perfect fluid solutions
zbMATH Keywords: Jordan-Brans-Dicke (JDB) cosmological theory
zbMATH Keywords: energy density
zbMATH Keywords: locally rotational symmetry
MaRDI profile type: Publication
cites work: General vacuum-universe solutions in Brans-Dicke cosmology
cites work: Q3896182
cites work: Exact Brans-Dicke-Friedmann-Robertson-Walker-Bianchi-Kantowski-Sachs vacuum solutions
full work available at URL: https://doi.org/10.1007/bf00644181
OpenAlex ID: W1977828195
description: scientific article; zbMATH DE number 3980829