Isotropic evolution of a JBD anisotropic Bianchi universe
نویسنده
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.
منابع مشابه
Noether Symmetry in f(T) Theory at the anisotropic universe
As it is well known, symmetry plays a crucial role in the theoretical physics. On other hand, the Noether symmetry is a useful procedure to select models motivated at a fundamental level, and to discover the exact solution to the given lagrangian. In this work, Noether symmetry in f(T) theory on a spatially homogeneous and anisotropic Bianchi type I universe is considered. We discuss the Lagran...
متن کاملr - qc / 9 90 80 53 v 1 1 9 A ug 1 99 9 The initial fate of an anisotropic JBD universe
The dynamical effects on the scale factors due to the scalar φ-field at the early stages of a supposedly anisotropic Universe expansion in the scalar-tensor cosmology of Jordan-Brans and Dicke is studied. This universe shows an isotropic evolution but, depending on the value of the theorie’s coupling parameter ω, it can begin from a singularity if ω > 0 and after expanding shrink to another one...
متن کاملThe initial fate of an anisotropic JBD universe
The dynamical effects on the scale factors due to the scalar φ-field at the early stages of a supposedly anisotropic Universe expansion in the scalar-tensor cosmology of Jordan-Brans and Dicke is studied. This universe shows an isotropic evolution but, depending on the value of the theorie’s coupling parameter ω, it can begin from a singularity if ω > 0 and after expanding shrink to another one...
متن کاملAnisotropic four-dimensional Neveu-Schwarz–Neveu-Schwarz string cosmology
An anisotropic ~Bianchi type I! cosmology is considered in the four-dimensional Neveu-Schwarz–NeveuSchwarz ~NS–NS! sector of low-energy effective string theory coupled to a dilaton and an axionlike H field within a de Sitter–Einstein frame background. The general solution of the gravitational field equations can be expressed in an exact parametric form in both Einstein and string frames. The st...
متن کاملar X iv : g r - qc / 0 10 30 93 v 2 2 7 A pr 2 00 1 The shear dynamics in Bianchi I cosmological model on the brane
The shear dynamics in Bianchi I cosmological model on the brane with a perfect fluid (the equation of state is p = (γ −1)µ) is studied. It is shown that for 1 < γ < 2 the shear parameter has maximum at some moment during a transition period from nonstandard to standard cosmology. An exact formula for the matter density µ in the epoch of maximum shear parameter as a function of the equation of s...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2000