@Article{Makarenko_etal2014, author="Makarenko, A. N. and Odintsov, S. and Olmo, G. J.", title="Born-Infeld f(R) gravity", journal="Physical Review D", year="2014", publisher="Amer Physical Soc", volume="90", number="2", pages="024066--15pp", abstract="Motivated by the properties of matter quantum fields in curved space-times, we work out a gravity theory that combines the Born-Infeld gravity Lagrangian with an f(R) piece. To avoid ghostlike instabilities, the theory is formulated within the Palatini approach. This construction provides more freedom to address a number of important questions, such as the dynamics of the early Universe and the cosmic accelerated expansion, among others. In particular, we consider the effect that adding an f(R) = aR(2) term has on the early-time cosmology. We find that bouncing solutions are robust against these modifications of the Lagrangian whereas the solutions with loitering behavior of the original Born-Infeld theory are very sensitive to the R-2 term. In fact, these solutions are modified in such a way that a plateau in the H-2 function may arise, yielding a period of (approximately) de Sitter inflationary expansion. This inflationary behavior may be found even in a radiation-dominated universe.", optnote="WOS:000341262300003", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1911), last updated on Fri, 26 Sep 2014 11:12:21 +0000", issn="1550-7998", doi="10.1103/PhysRevD.90.024066", opturl="http://arxiv.org/abs/arXiv:1403.7409", opturl="https://doi.org/10.1103/PhysRevD.90.024066", archivePrefix="arXiv", eprint="arXiv:1403.7409", language="English" }