Isotropic evolution of a JBD anisotropic Bianchi universe

نویسنده

  • H. N. Núñez-Yépez
چکیده

Abstract. I study the dynamical effects due to the Brans-Dicke scalar φ-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-VII0 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 ω > 0), shrink to another, or starting in a non-singular state, collapse to a singularity. I also conclude that the general Bianchi-VIIh (with h 6= 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, Φ, as the product of the JBD scalar field φ times a mean scale factor a = a1a2a3, in which the finite-cosmological-time evolution of this universe unfolds into an infinite Φ-range. These universes isotropize from an anisotropic initial state, thence I conclude that they are stable against anisotropic perturbations.

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تاریخ انتشار 2000