Cosmology of Horava-Lifshitz f(R) Gravity

TL;DR

This paper explores the cosmological implications of Horava-Lifshitz f(R) gravity, deriving modified equations and analyzing how nonlinear effects influence bounce and cyclic universe solutions.

Contribution

It introduces the cosmological dynamics of Horava-Lifshitz f(R) gravity, including modified Hubble equations and bounce solutions, highlighting potential cyclic universe behavior.

Findings

Modified Hubble equation derived

Bounce solutions are altered by nonlinear effects

Universe can exhibit cyclic behavior

Abstract

We discuss the cosmology of recently proposed Horava-Lifshitz f(R) gravity. In particular, we derive the modified Hubble equation that reduces to the standard HL gravity case in appropriate limit. We show how the bounce solutions in this theory are modified due to nonlinear effect of f(R) gravity. We also show that in principle, the Universe in this set-up can show cyclic behavior.