PLANE SYMMETRIC SOLUTIONS IN HOŘAVA–LIFSHITZ THEORY

Abstract

The purpose of this paper is to find and analyze plane symmetric, static (non-static) solutions in Hořava–Lifshitz gravity. We discussed two versions of Horava gravity. First we show that if the detailed balance principle is considered, there are both static and non-static solutions. We show that in the static case there are two families of solvable models, either one of them having a well-defined EoS, analogous to the perfect fluid solutions in GR. In the non-static case we find a family of solutions. Some physical properties of these solutions are discussed. Secondly we investigated the plane symmetric solutions for a new modified version of Hořava gravity, which has the new terms of action inserted into it.