Plane symmetric solutions in Horava-Lifshitz theory

TL;DR

This paper explores plane symmetric solutions in different versions of Horava-Lifshitz gravity, identifying static and non-static models with physical properties, and introduces modifications to the theory with new terms.

Contribution

It provides new plane symmetric solutions in both standard and modified Horava-Lifshitz gravity, including static and non-static cases with well-defined equations of state.

Findings

Two families of static solutions with EOS similar to perfect fluids.

A family of non-static solutions was identified.

Modified Horava gravity admits plane symmetric solutions with new terms.

Abstract

The purpose of this paper is to find and analyze plane symmetric, static(non static) solutions in Ho\v{r}ava- Lifshitz gravity. We discussed two versions of Horava gravity. First we showed that if the detailed balance principle have considered, there are both static and non-static solutions. We show that in static case there are two family of solvable models which either of them has a well defined EOS, in analogous to the perfect fluid solutions in GR. In non-static case we find a family of solutions. Some physical properties of these solutions was discussed. Secondly we investigated the plane symmetric solutions for a new modified version of Ho\v{r}avaa gravity \cite{bla}, which has the new terms inserted action in it.