Cosmic No Hair for Collapsing Universes

Details Cosmic No Hair for Collapsing Universes Cosmic No Hair for Collapsing Universes

2005-11-17

arxiv.org/abs/hep-th/0511174v2

Class.Quant.Grav.23:3517-3530,2006

Physics

High Energy Physics

High Energy Physics - Theory

Extended discussion to include Kantowski-Sachs universe. In press, Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/23/10/018

It is shown that all contracting, spatially homogeneous, orthogonal Bianchi cosmologies that are sourced by an ultra-stiff fluid with an arbitrary and, in general, varying equation of state asymptote to the spatially flat and isotropic universe in the neighbourhood of the big crunch singularity. This result is employed to investigate the asymptotic dynamics of a collapsing Bianchi type IX universe sourced by a scalar field rolling down a steep, negative exponential potential. A toroidally compactified version of M*-theory that leads to such a potential is discussed and it is shown that the isotropic attractor solution for a collapsing Bianchi type IX universe is supersymmetric when interpreted in an eleven-dimensional context.

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