Cosmological constraints on f(G) dark energy models
Modified gravity theories with the Gauss-Bonnet term G=R2−4RμνRμν+RμνρσRμνρσ 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 de...
| Main Authors: | , , |
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| Format: | Article |
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IOP Science
2009
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| Online Access: | https://eprints.nottingham.ac.uk/42128/ |
| _version_ | 1848796426010624000 |
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| author | Zhou, Shuang-Yong Copeland, Edmund J. Saffin, Paul M. |
| author_facet | Zhou, Shuang-Yong Copeland, Edmund J. Saffin, Paul M. |
| author_sort | Zhou, Shuang-Yong |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | Modified gravity theories with the Gauss-Bonnet term G=R2−4RμνRμν+RμνρσRμνρσ 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 ΛCDM model in the radiation and matter dominated periods, but have distinctive signatures at late times, are obtained. |
| first_indexed | 2025-11-14T19:47:47Z |
| format | Article |
| id | nottingham-42128 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:47:47Z |
| publishDate | 2009 |
| publisher | IOP Science |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-421282020-05-04T16:28:31Z https://eprints.nottingham.ac.uk/42128/ Cosmological constraints on f(G) dark energy models Zhou, Shuang-Yong Copeland, Edmund J. Saffin, Paul M. Modified gravity theories with the Gauss-Bonnet term G=R2−4RμνRμν+RμνρσRμνρσ 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 ΛCDM model in the radiation and matter dominated periods, but have distinctive signatures at late times, are obtained. IOP Science 2009-07-06 Article PeerReviewed Zhou, Shuang-Yong, Copeland, Edmund J. and Saffin, Paul M. (2009) Cosmological constraints on f(G) dark energy models. Journal of Cosmology and Astroparticle Physics, 2009 (07). 009. ISSN 1475-7516 http://iopscience.iop.org/article/10.1088/1475-7516/2009/07/009/meta doi:10.1088/1475-7516/2009/07/009 doi:10.1088/1475-7516/2009/07/009 |
| spellingShingle | Zhou, Shuang-Yong Copeland, Edmund J. Saffin, Paul M. Cosmological constraints on f(G) dark energy models |
| title | Cosmological constraints on f(G) dark energy models |
| title_full | Cosmological constraints on f(G) dark energy models |
| title_fullStr | Cosmological constraints on f(G) dark energy models |
| title_full_unstemmed | Cosmological constraints on f(G) dark energy models |
| title_short | Cosmological constraints on f(G) dark energy models |
| title_sort | cosmological constraints on f(g) dark energy models |
| url | https://eprints.nottingham.ac.uk/42128/ https://eprints.nottingham.ac.uk/42128/ https://eprints.nottingham.ac.uk/42128/ |