Plane symmetric solutions in Horava-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 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 Hořavaa gravity \cite{bla}, which has the new terms inserted action in it.

16 pages, no figure, references added, re-organized and re-writtend, typos corrected, main results unchanged

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• Finite-time singularities in f(R, T) gravity and the effect of conformal anomaly
• A note on Friedmann equation of FRW universe in deformed Horava-Lifshitz gravity from entropic force
• Observational constraints on non-minimally coupled Galileon model
• Spacing of the entropy spectrum for KS Black hole in Horava-Lifshitz gravity
• Lifshitz spacetimes, solitons, and generalized BTZ black holes in quantum gravity at a Lifshitz point
• High-dimensional Lifshitz-type spacetimes, universal horizons and black holes in Hořava-Lifshitz gravity
• Noether Gauge Symmetry of Modified Teleparallel Gravity Minimally Coupled with a Canonical Scalar Field
• Planar Symmetry in f(T) gravity
• A Slowly Rotating Black Hole in Horava-Lifshitz Gravity and a 3+1 Dimensional Topological Black Hole: Motion of Particles and BSW Mechanism
• Cosmic strings in a model of non-relativistic gravity
• Killing and Noether Symmetries of Plane Symmetric Spacetime
• Particle Probe of Horava-Lifshitz Gravity
• The cosmological constant as an eigenvalue of the Hamiltonian constraint in Horava-Lifshits theory
• Caustic singularity in Ho$\check{\text{r}}$ava-Lifshitz gravity
• Phenomenological models of Universe with varying $G$ and $\Lambda$
• Extended Hořava Gravity with Physical Ground-State Wavefunction
• Cylindrically symmetric and plane-symmetric solutions in $f(R)$ theory via Noether symmetries
• Static Charged Black Hole Solutions in Horava-Lifshitz Gravity
• Constraints on Flows in Horava-Lifshitz Gravity by Classical Solutions
• Singularities of the Casimir Energy for Quantum Field Theories with Lifshitz Dimensions