The phase-space of generalized Gauss-Bonnet dark energy

Abstract

The generalized Gauss-Bonnet theory, introduced by Lagrangian F(R,G), has been considered as a general modified gravity for explanation of the dark energy. G is the Gauss-Bonnet invariant. For this model, we seek the situations under which the late-time behavior of the theory is the de-Sitter space-time. This is done by studying the two dimensional phase space of this theory, i.e. the R-H plane. By obtaining the conditions under which the de-Sitter space-time is the stable attractor of this theory, several aspects of this problem have been investigated. It has been shown that there exist at least two classes of stable attractors : the singularities of the F(R,G), and the cases in which the model has a critical curve, instead of critical points. This curve is R=12H^2 in R-H plane. Several examples, including their numerical calculations, have been discussed.

19 pages, 11 figures, typos corrected, a reference added

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Cited by in corpus (6)

• Cosmological entropy and generalized second law of thermodynamics in $F(R,G)$ theory of gravity
• Topological Static Spherically Symmetric vacuum Solutions in $\mathcal{F}(R,G)$ Gravity
• Stability analysis of the cosmological solutions with induced gravity and scalar field on the brane
• Asymptotic Properties of a Supposedly Regular (Dirac-Born-Infeld) Modification of General Relativity
• Supernova, baryon acoustic oscillations, and CMB surface distance constraints on f(G) higher order gravity models
• Interacting Models of Dark Energy and Dark Matter in Einstein scalar Gauss Bonnet Gravity