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arXiv · 1108.0767

Cyclic, ekpyrotic and little rip universe in modified gravity

Shin'ichi Nojiri·Sergei D. Odintsov·Diego Saez-Gomez
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Abstract

We propose the reconstruction of $F(R)$ gravity in such a way that corresponding theory admits cyclic and ekpyrotic universe solutions. The number of explicit examples of such $F(R)$ model is found. The comparison with the reconstructed scalar-tensor theory is made. We also present $F(R)$ gravity which provides the little rip evolution and gives the realistic gravitational alternative for $\Lambda$CDM cosmology. The time for little rip dissolution of bound structures in such theory is estimated. We demonstrate that transformed little rip $F(R)$ solution becomes qualitatively different cosmological solution with Big Bang type singularity in Einstein frame.

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Shin'ichi Nojiri, Sergei D. Odintsov, Diego Saez-Gomez. 2011-08-03. Cyclic, ekpyrotic and little rip universe in modified gravity. https://doi.org/10.1063/1.4734414

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