Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2011-08-03
Physics
High Energy Physics
High Energy Physics - Theory
LaTeX 11 pages, no figure, typos corrected
Scientific paper
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.
Nojiri Shin'ichi
Odintsov Sergei D.
Sáez-Gómez Diego
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