Classical Stability of Sudden and Big Rip Singularities
General Relativity and Quantum Cosmology
2009-09-02 v4 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
We introduce a general characterization of sudden cosmological singularities and investigate the classical stability of homogeneous and isotropic cosmological solutions of all curvatures containing these singularities to small scalar, vector, and tensor perturbations using gauge invariant perturbation theory. We establish that sudden singularities at which the scale factor, expansion rate, and density are finite are stable except for a set of special parameter values. We also apply our analysis to the stability of Big Rip singularities and find the conditions for their stability against small scalar, vector, and tensor perturbations.
Cite
@article{arxiv.0901.1626,
title = {Classical Stability of Sudden and Big Rip Singularities},
author = {John D. Barrow and Sean Z. W. Lip},
journal= {arXiv preprint arXiv:0901.1626},
year = {2009}
}
Comments
16 pages, no figures. Final published version. Corrections, further clarifications and references added