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Isotropic evolution of a JBD anisotropic Bianchi universe | H. N. Nú~nez-Yépez
; | Date: |
6 Sep 2001 | Journal: | Gen.Rel.Grav. 33 (2001) 1767-1782 | Subject: | gr-qc | Abstract: | I study the dynamical effects due to the Brans-Dicke scalar $phi$-field at the early stages of a supposedly anisotropic Universe expansion in the scalar-tensor cosmology of Jordan-Brans-Dicke. This is done considering the behaviour of the general solutions for the homogeneous model of Bianchi type VII in the vacuum case. I conclude that the Bianchi-VII$_0$ model shows an isotropic expansion and that its only physical solution is equivalent to a Friedman-Robertson-Walker spacetime whose evolution can, depending on the value of the JBD coupling constant, begin in a singularity and, after expanding (inflating, if $omega>0$), shrink to another, or starting in a non-singular state, collapse to a singularity. I also conclude that the general Bianchi-VII$_h$ (with $h
eq 0$) models show strong curvature singularities producing a complete collapse of the homogeinity surfaces to 2D-manifolds, to 1D-manifolds or to single points. Our analysis depends crucially on the introduction of the so-called intrinsic time, $Phi$, as the product of the JBD scalar field $phi$ times a mean scale factor $a^3=a_1a_2a_3$, in which the finite-cosmological-time evolution of this universe unfolds into an infinite $Phi$-range. These universes isotropize from an anisotropic initial state, thence I conclude that they are stable against anisotropic perturbations. | Source: | arXiv, gr-qc/0109019 | Services: | Forum | Review | PDF | Favorites |
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