Stability of cosmological solutions in F(R) Horava-Lifshitz gravity

TL;DR

This paper investigates the stability of cosmological solutions in F(R) Horava-Lifshitz gravity, showing how stability depends on the form of F(R) and model parameters, with implications for cosmic evolution and observational predictions.

Contribution

It provides a stability analysis of FRW solutions in F(R) Horava-Lifshitz gravity, highlighting the role of theory form and parameters in cosmic evolution.

Findings

Stability depends on F(R) form and parameters.

Instability can trigger transitions between cosmic epochs.

Results can constrain models and inform observational predictions.

Abstract

At the present paper, it is studied cosmological solutions and its stability in the frame of F(R) Horava-Lifshitz gravity. The perturbations around general spatially flat FRW solutions are analyzed and it is showed that the stability of those solutions will depend on the kind of theory, i.e. on the form of the action F(R), as well as on the parameters contained in any Horava-Lifshitz theory due to the breaking of Lorentz invariance. The (in)stability of a given cosmic solution can restrict the models and gives new observational predictions, and can give a natural explanation on the end of inflation and radiation/matter phases. An explicit example of F(R) is studied, and it is showed that the instability can produce the transition between the different epochs of the Universe history.