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 effects such as Little Rip, ΛCDM 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, apparently 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.
Highlights
Modified gravity provides a very natural approach for the description of the evolution of the universe by generating early-time as well as late-time cosmic acceleration via the modification of standard General Relativity
We find that a variety of cosmic efects such as Little Rip, ΛCDM universe and dark energy cosmology with finite-time future singularities may occur
Unlike the convenient BornInfeld 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
Summary
Modified gravity provides a very natural approach for the description of the evolution of the universe by generating early-time as well as late-time cosmic acceleration via the modification of standard General Relativity (for recent reviews on modified gravity, see [1]). We study late-time cosmic accelerating dynamics from Born-Infeld-f (R) gravity in a simplified conformal approach. 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. In the present letter we consider the BI-f (R) theory using a simplified conformal ansatz which, despite not being the most general approach (see ref.[5] for full details), it may be used to discuss a number of interesting situations.
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