Cosmological solutions in F(R) Horava-Lifshitz gravity

TL;DR

This paper explores extending F(R) gravity theories within the Horava-Lifshitz framework, demonstrating potential explanations for dark energy and unification of inflation with late-time cosmic acceleration.

Contribution

It introduces a novel combination of F(R) gravity with Horava-Lifshitz theory, offering new insights into cosmic acceleration mechanisms.

Findings

Dark energy can be explained through this extended gravity model.

The model suggests a unified mechanism for inflation and late-time acceleration.

The theory remains consistent with the accelerated expansion observations.

Abstract

At the present work, it is studied the extension of F (R) gravities to the new recently proposed theory of gravity, the so-called Horava-Lifshitz gravity, which provides a way to make the theory power counting renormalizable by breaking Lorentz invariance. It is showed that dark energy can be well explained in the frame of this extension, just in terms of gravity. It is also explored the possibility to unify inflation and late-time acceleration under the same mechanism, providing a natural explanation the accelerated expansion.