Cyclic, ekpyrotic and little rip universe in modified gravity

2011/08/31 by Shin'ichi Nojiri, Sergei D. Odintsov, Diego Saez-Gomez · 1 citation
Physics and Astronomy · #hep-th #astro-ph.CO #gr-qc

paper · pdf · doi:10.1063/1.4734414

LaTeX 11 pages, no figure, typos corrected

arxiv created 2012/03/24 · arxiv updated 2015/05/29

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 ΛCDM 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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