Signature for local Mixmaster dynamics in U(1) symmetric cosmologies

Abstract

Previous studies \cite{berger98a} have provided strong support for a local, oscillatory approach to the singularity in U(1) symmetric, spatially inhomogeneous vacuum cosmologies on $T^3\times R$. The description of a vacuum Bianchi type IX, spatially homogeneous Mixmaster cosmology (on $S^3\times R$) in terms of the variables used to describe the U(1) symmetric cosmologies indicates that the oscillations in the latter are in fact those of local Mixmaster dynamics. One of the variables of the U(1) symmetric models increases only at the end of a Mixmaster era. Such an increase therefore yields a qualitative signature for local Mixmaster dynamics in spatially inhomogeneous cosmologies.

13 pages, uses RevTex, psfig

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Cited by in corpus (11)

• Numerical Approaches to Spacetime Singularities
• Numerical simulations of general gravitational singularities
• Oscillatory approach to the singularity in vacuum spacetimes with $T^2$ isometry
• Classical and Quantum Features of the Mixmaster Singularity
• Computational Cosmology: from the Early Universe to the Large Scale Structure
• Cosmology using numerical relativity
• On the relation between mathematical and numerical relativity
• Why Solve the Hamiltonian Constraint in Numerical Relativity?
• Mathematical general relativity: a sampler
• Reflections on the hyperbolic plane
• Gravitational Billiards, Dualities and Hidden Symmetries