De Sitter stability in quadratic gravity

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.

12 pages with 4 figures; references added

References in corpus (3)

• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Shear dynamics in Bianchi I cosmologies with R^n-gravity

Cited by in corpus (11)

• Do we have unitary and (super)renormalizable Quantum Gravity below Planck scale?
• Dynamical analysis on $f(R,\mathcal{G})$ cosmology
• Perihelion precession for modified Newtonian gravity
• No-go theorem for inflation in Ricci-inverse gravity
• Cosmological dynamics of fourth order gravity with a Gauss-Bonnet term
• No-go theorem for inflation in an extended Ricci-inverse gravity model
• Cosmological evolution with quadratic gravity and nonideal fluids
• Stability investigations of isotropic and anisotropic exponential inflation in the Starobinsky-Bel-Robinson gravity
• Cosmological dynamics in six-order gravity
• Stability investigations of de Sitter inflationary solutions in power-law extensions of the Starobinsky model
• Effect of $R^2$ on the stability of de Sitter solution of the generalized Einsteinian cubic gravity