Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2006-11-13
Int.J.Mod.Phys.D16:1075-1086,2007
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
12 pages with 4 figures; references added
Scientific paper
10.1142/S0218271807010572
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.
Toporensky Alexey V.
Tretyakov Petr V.
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