De Sitter stability in quadratic gravity
A. V. Toporensky, P.V. Tretyakov
TL;DR
This paper investigates the stability of de Sitter solutions in quadratic gravity, extending known conditions to multidimensional and anisotropic backgrounds, revealing significant changes when certain assumptions are violated.
Contribution
It derives new stability conditions for de Sitter solutions in quadratic gravity for multidimensional FRW and Bianchi I metrics, expanding prior results.
Findings
Stability conditions differ significantly in multidimensional settings.
De Sitter solutions can be unstable under certain conditions.
Results applicable to higher-dimensional and anisotropic cosmological models.
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.
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