Eur. Phys. J. C 70, 351-361 (2010)
https://doi.org/10.1140/epjc/s10052-010-1455-7

Unifying inflation with dark energy in modified F(R) Hořava–Lifshitz gravity

¹ Consejo Superior de Investigaciones Científicas, ICE(CSIC-IEEC), Campus UAB, Facultat de Ciències, Torre C5-Parell-2a pl, 08193, Bellaterra, Barcelona, Spain
² Department of Physics, Nagoya University, Nagoya, 464-8602, Japan
³ Kobayashi-Maskawa Institute for the Origin of Particles and the Universe, Nagoya University, Nagoya, 464-8602, Japan
⁴ ICREA, Barcelona, Spain

nojiri@phys.nagoya-u.ac.jp

Received: 16 July 2010
Published online: 6 October 2010

Abstract

We study FRW cosmology for a non-linear modified F(R) Hořava–Lifshitz gravity which has a viable convenient counterpart. A unified description of early-time inflation and late-time acceleration is possible in this theory, but the cosmological dynamic details are generically different from the ones of the convenient viable F(R) model. Remarkably, for some specific choice of parameters they do coincide. The emergence of finite-time future singularities is investigated in detail. It is shown that these singularities can be cured by adding an extra, higher-derivative term, which turns out to be qualitatively different when compared with the corresponding one of the convenient F(R) theory.