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Please use this identifier to cite or link to this item: http://hdl.handle.net/10261/38205
Title: Finite-time future singularities in modified Gauss–Bonnet and ℱ(R,G) gravity and singularity avoidance
Authors: Bamba, Kazuharu; Odintsov, Sergei D.; Sebastiani, Lorenzo; Zerbini, Sergio
Issue Date: 27-Mar-2010
Publisher: Springer
Citation: European Physical Journal C - Particles and Fields 67 (1-2) : 295-310 (2010)
Abstract: We study all four types of finite-time future singularities emerging in the late-time accelerating (effective quintessence/phantom) era from ℱ(R,G)-gravity, where R and G are the Ricci scalar and the Gauss–Bonnet invariant, respectively. As an explicit example of ℱ(R,G)-gravity, we also investigate modified Gauss–Bonnet gravity, so-called F(G)-gravity. In particular, we reconstruct the F(G)-gravity and ℱ(R,G)-gravity models where accelerating cosmologies realizing the finite-time future singularities emerge. Furthermore, we discuss a possible way to cure the finite-time future singularities in F(G)-gravity and ℱ(R,G)-gravity by taking into account higher-order curvature corrections. The example of non-singular realistic modified Gauss–Bonnet gravity is presented. It turns out that adding such non-singular modified gravity to singular Dark Energy makes the combined theory a non-singular one as well.
Description: The final publication is available at www.springerlink.com
Publisher version (URL): http://dx.doi.org/10.1140/epjc/s10052-010-1292-8
URI: http://hdl.handle.net/10261/38205
ISSN: 1434-6044
DOI: 10.1140/epjc/s10052-010-1292-8
E-ISSN: 1434-6052
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