De Sitter stability in quadratic gravity
General Relativity and Quantum Cosmology
2010-11-11 v2
Abstract
Quadratic curvature corrections to Einstein-Hilbert action lead in general to higher-order equations of motion, which can induced instability of some unperturbed solutions of General Relativity. We study conditions for stability of de Sitter cosmological solution. We argue that simple form of this condition known for FRW background in 3+1 dimensions changes seriously if at least one of these two assumptions is violated. In the present paper the stability conditions for de Sitter solution have been found for multidimensional FRW background and for Bianchi I metrics in 3+1 dimensions.
Keywords
Cite
@article{arxiv.gr-qc/0611068,
title = {De Sitter stability in quadratic gravity},
author = {A. V. Toporensky and P. V. Tretyakov},
journal= {arXiv preprint arXiv:gr-qc/0611068},
year = {2010}
}
Comments
12 pages with 4 figures; references added