Cosmic No Hair for Collapsing Universes

Abstract

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.

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

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Cited by in corpus (9)

• Bianchi type I universe with viscous fluid: A qualitative analysis
• Anisotropic Pressures at Ultra-stiff Singularities and the Stability of Cyclic Universes
• Microphysical manifestations of viscosity and consequences for anisotropies in the very early universe
• Flat limits of curved interacting cosmic fluids
• Quasi-isotropic cycles and non-singular bounces in a Mixmaster cosmology
• Evolution of initially contracting Bianchi Class A models in the presence of an ultra-stiff anisotropic pressure fluid
• Fingerprints of a Non-Inflationary Universe from Massive Fields
• Cuscuton Bounce Beyond the Linear Regime: Bispectrum and Strong Coupling Constraints
• Cosmic no-hair theorems for viscous contracting Universes