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

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Cited by in corpus (25)

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• Dark matter as a geometric effect in f(R) gravity
• Bouncing cosmology in modified Gauss-Bonnet gravity
• Geodesic deviation, Raychaudhuri equation, and tidal forces in modified gravity with an arbitrary curvature-matter coupling
• The Existence of Einstein Static Universes and their Stability in Fourth order Theories of Gravity
• Accelerating Universe in Modified Theories of Gravity
• On the Energy Issue for a Class of Modified Higher Order Gravity Black Hole Solutions
• One-loop effective action for non-local modified Gauss-Bonnet gravity in de Sitter space
• Beyond-one-loop quantum gravity action yielding both inflation and late-time acceleration
• Scalar field mass in generalized gravity
• Cosmological entropy and generalized second law of thermodynamics in $F(R,G)$ theory of gravity
• f(R) Gravities à la Brans-Dicke
• Homogeneous cosmologies in generalized modified gravity
• The dynamical viability of scalar-tensor gravity theories
• The phase-space of generalized Gauss-Bonnet dark energy
• The Asymptotic Behavior of Bouncing Cosmological Models in $F(\mathcal{G})$ Gravity Theory
• Topological Static Spherically Symmetric vacuum Solutions in $\mathcal{F}(R,G)$ Gravity
• Viscous Fluids and Gauss-Bonnet Modified Gravity
• Rotating black strings in $f(R)$-Maxwell theory
• A Comprehensive Study of Massive Compact Star Admitting Conformal Motion Under Bardeen Geometry
• On Friedmann-Lema\^ıtre-Robertson-Walker cosmologies in non-standard gravity
• Hybrid star within $f(\mathcal{G})$ gravity
• Gauge-invariant gravitational wave modes in pre-big bang cosmology
• Stability of the de-Sitter universe: One-loop nonlocal $f(R)$ gravity