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arXiv · 0908.0784

Einstein spaces as attractors for the Einstein flow

Lars Andersson·Vincent Moncrief
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Abstract

In this paper we prove a global existence theorem, in the direction of cosmological expansion, for sufficiently small perturbations of a family of $n+1$-dimensional, $n \geq 3$, spatially compact spacetimes which generalizes the $k=-1$ Friedmann--Robertson--Walker vacuum spacetime. Our results demonstrate causal geodesic completeness of the perturbed spacetimes, in the expanding direction, and show that the scale-free geometry converges towards an element in the moduli space of Einstein geometries, with a rate of decay depending on the stability properties of the Einstein geometry.

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Lars Andersson, Vincent Moncrief. 2009-08-06. Einstein spaces as attractors for the Einstein flow. https://arxiv.org/abs/0908.0784

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