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arXiv · 1404.2850

Little Rip, $Λ$CDM and singular dark energy cosmology from Born-Infeld-$f(R)$ gravity

Andrey N. Makarenko·Sergei D. Odintsov·Gonzalo J. Olmo
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Abstract

We study late-time cosmic accelerating dynamics from Born-Infeld-$f(R)$ gravity in a simplified conformal approach. We find that a variety of cosmic efects such as Little Rip, $Λ$CDM universe and dark energy cosmology with finite-time future singularities may occur. Unlike the convenient Born-Infeld gravity where in the absence of matter only de Sitter expansion may emerge, apparentlly any FRW cosmology maybe reconstructed from this conformal version of the Born-Infeld-$f(R)$ theory. Despite the fact that the explicit form of $f(R)$ is fixed by the conformal ansatz, the relation between the two metrics in this approach may be changed so as to bring out any desired FRW cosmology.

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Andrey N. Makarenko, Sergei D. Odintsov, Gonzalo J. Olmo. 2014-05-13. Little Rip, $Λ$CDM and singular dark energy cosmology from Born-Infeld-$f(R)$ gravity. https://doi.org/10.1016/j.physletb.2014.05.024

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