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Cosmological constraints on f(G) dark energy models

Zhou, Shuang-Yong; Copeland, Edmund J.; Saffin, Paul M.

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Shuang-Yong Zhou

Professor of Physics


Modified gravity theories with the Gauss-Bonnet term G=R2?4R??R??+R????R???? have recently gained a lot of attention as a possible explanation of dark energy. We perform a thorough phase space analysis on the so-called f(G) models, where f(G) is some general function of the Gauss-Bonnet term, and derive conditions for the cosmological viability of f(G) dark energy models. Following the f(R) case, we show that these conditions can be nicely presented as geometrical constraints on the derivatives of f(G). We find that for general f(G) models there are two kinds of stable accelerated solutions, a de Sitter solution and a phantom-like solution. They co-exist with each other and which solution the universe evolves to depends on the initial conditions. Finally, several toy models of f(G) dark energy are explored. Cosmologically viable trajectories that mimic the ?CDM model in the radiation and matter dominated periods, but have distinctive signatures at late times, are obtained.


Zhou, S., Copeland, E. J., & Saffin, P. M. (2009). Cosmological constraints on f(G) dark energy models. Journal of Cosmology and Astroparticle Physics, 2009(7),

Journal Article Type Article
Acceptance Date Jun 19, 2009
Publication Date Jul 6, 2009
Deposit Date Apr 21, 2017
Publicly Available Date Apr 21, 2017
Journal Journal of Cosmology and Astroparticle Physics
Electronic ISSN 1475-7516
Publisher IOP Publishing
Peer Reviewed Peer Reviewed
Volume 2009
Issue 7
Public URL
Publisher URL


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