Dynamical systems approach to G2 cosmology
摘要
In this paper we present a new approach for studying the dynamics of spatially inhomogeneous cosmological models with one spatial degree of freedom. By introducing suitable scale-invariant dependent variables we write the evolution equations of the Einstein field equations as a system of autonomous partial differential equations in first-order symmetric hyperbolic format, whose explicit form depends on the choice of gauge. As a first application, we show that the asymptotic behaviour near the cosmological initial singularity can be given a simple geometrical description in terms of the local past attractor on the boundary of the scale-invariant dynamical state space. The analysis suggests the name ``asymptotic silence'' to describe the evolution of the gravitational field near the cosmological initial singularity.
关键词
引用
@article{arxiv.gr-qc/0107041,
title = {Dynamical systems approach to G2 cosmology},
author = {Henk van Elst and Claes Uggla and John Wainwright},
journal= {arXiv preprint arXiv:gr-qc/0107041},
year = {2009}
}
备注
28 pages, 3 tables, 1 *.eps figure, LaTeX2e (10pt), matches version accepted for publication by Classical and Quantum Gravity