PT Journal AU Makarenko, AN Odintsov, SD Olmo, GJ TI Little Rip, Lambda CDM and singular dark energy cosmology from Born-Infeld-f(R) gravity SO Physics Letters B JI Phys. Lett. B PY 2014 BP 36 EP 40 VL 734 DI 10.1016/j.physletb.2014.05.024 LA English AB 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, Lambda 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, apparently any FRW cosmology may be 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. ER