On the Stability of a class of Modified Gravitational Models

Abstract

Motivated by the dark energy issue, a minisuperspace approach to the stability for modified gravitational models in a four dimensional cosmological setting are investigated. Specifically, after revisiting the $f(R)$ case, $R$ being the Ricci curvature, we present a stability condition around a de Sitter solution valid for modified gravitational models of generalized Gauss-Bonnet type $F(R,G,Q)$, $G$ and $Q$ being the Gauss-Bonnet and quadratic Riemann invariants respectively. A generalization to higher order invariants is mentioned.

latex, 13 pag., no figures. Major revision, an additional Section added with new ewsults. New references added

References in corpus (6)

• de Sitter space and the equivalence between f(R) and scalar-tensor gravity
• The evolution of density perturbations in f(R) gravity
• Ghost Constraints on Modified Gravity
• Perturbative aspects and conformal solutions of F(R) gravity
• Acceleration of the Universe via f(R) Gravities and The Stability of Extra Dimensions
• f(R) Gravities à la Brans-Dicke

Cited by in corpus (6)

• Dark matter as a geometric effect in f(R) gravity
• The Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity
• Accelerating Universe in Modified Theories of Gravity
• Scalar field mass in generalized gravity
• f(R) Gravities à la Brans-Dicke
• The phase-space of generalized Gauss-Bonnet dark energy