Asymptotic silence of generic cosmological singularities

Abstract

In this letter we investigate the nature of generic cosmological singularities using the framework developed by Uggla et al. We do so by studying the past asymptotic dynamics of general vacuum G2 cosmologies, models that are expected to capture the singular behavior of generic cosmologies with no symmetries at all. In particular, our results indicate that asymptotic silence holds, i.e., that particle horizons along all timelines shrink to zero for generic solutions. Moreover, we provide evidence that spatial derivatives become dynamically insignificant along generic timelines, and that the evolution into the past along such timelines is governed by an asymptotic dynamical system which is associated with an invariant set -- the silent boundary. We also identify an attracting subset on the silent boundary that organizes the oscillatory dynamics of generic timelines in the singular regime. In addition, we discuss the dynamics associated with recurring spike formation.

arXiv comment4 pages, 5 *.eps figures, RevTeX4; replaced by significantly revised version, to appear in Physical Review Letters

References in corpus (10)

• The Bianchi IX attractor
• The past attractor in inhomogeneous cosmology
• Numerical simulations of generic singuarities
• Mixmaster Behavior in Inhomogeneous Cosmological Spacetimes
• Global Foliations of Vacuum Spacetimes with $T^2$ Isometry
• Oscillatory approach to the singularity in vacuum spacetimes with $T^2$ isometry
• Asymptotic dynamics of the exceptional Bianchi cosmologies
• High velocity spikes in Gowdy spacetimes
• On the area of the symmetry orbits in $T^2$ symmetric spacetimes
• Gowdy phenomenology in scale-invariant variables

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