Journal
GENERAL RELATIVITY AND GRAVITATION
Volume 42, Issue 8, Pages 1997-2008Publisher
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-010-0977-5
Keywords
Gauss-Bonnet gravity; F(R) gravity; Cosmological singularity
Funding
- RFBR [08-02-00923, 09-02-12417]
- scientific school, Russian Ministry of Science and Technology [4899.2008.2]
- Nagoya University, Japan Society for the Promotion of Science
- MICINN (Spain) [FIS2006-02842]
- AGAUR (Generalitat de Catalunya) [2009 SGR994]
- ICREA Funding Source: Custom
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We discuss the cosmological reconstruction in modified Gauss-Bonnet and F(R) gravities. Two alternative representations of the action (with and without auxiliary scalar) are considered. The approximate description of deceleration-acceleration transition cosmologies is reconstructed. It is shown that cosmological solution containing Big Bang and Big Rip singularities may be reconstructed only using the representation with the auxiliary field. The analytical description of the deceleration-acceleration transition cosmology in modified Gauss-Bonnet gravity is demonstrated to be impossible at sufficiently general conditions.
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