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Open Access item 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
E-ISSNmetadata.dc.identifier.doi = DOI:1434-6052
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Appears in Collections:(ICE) Artículos

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