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.
Keywords
Cite
@article{arxiv.0908.1150,
title = {The phase-space of generalized Gauss-Bonnet dark energy},
author = {M. Alimohammadi and A. Ghalee},
journal= {arXiv preprint arXiv:0908.1150},
year = {2009}
}
Comments
19 pages, 11 figures, typos corrected, a reference added