%0 Journal Article
%T Born-Infeld f(R) gravity
%A Makarenko, A. N.
%A Odintsov, S.
%A Olmo, G. J.
%J Physical Review D
%D 2014
%V 90
%N 2
%I Amer Physical Soc
%@ 1550-7998
%G English
%F Makarenko_etal2014
%O WOS:000341262300003
%O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=1911), last updated on Fri, 26 Sep 2014 11:12:21 +0000
%X 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.
%R 10.1103/PhysRevD.90.024066
%U http://arxiv.org/abs/arXiv:1403.7409
%U https://doi.org/10.1103/PhysRevD.90.024066
%P 024066-15pp