Year: 2007
Type: article
Abstract: Quadratic curvature corrections to the Einstein–Hilbert action lead in general to higher-order equations of motion, which can induce instability of some unperturbed solutions of General Relativity. We study the conditions for the stability of the de Sitter cosmological solution. We argue that the simple form of this condition known for the 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 the de Sitter solution are found for the multidimensional FRW background and for Bianchi I metrics in (3 + 1) dimensions.
Authors: A. V. TOPORENSKY, P. V. TRETYAKOV
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2079037186