Two Dimensional Horava-Lifshitz Black Hole Solutions

TL;DR

This paper explores black hole solutions and gravitational collapse in (1+1)-dimensional Horava-Lifshitz gravity, analyzing how different potentials and parameters affect collapse dynamics and black hole properties.

Contribution

It provides new (1+1)-dimensional black hole solutions in non-projectable Horava-Lifshitz gravity with various scalar potentials and studies collapse behavior depending on the theory's parameters.

Findings

Collapse time varies with parameter λ.

Different scalar potentials lead to distinct black hole solutions.

Collapse can be faster or slower depending on model parameters.

Abstract

In this paper we address the issue of black hole solutions in (1+1)-dimensional non-projectable Horava-Lifshitz gravity. We consider several models by considering different potentials in the scalar matter sector. We also consider the gravitational collapse of a distribution of pressureless dust filling a region in one-dimensional space. The time of the collapse can be faster or slower depending on the parameter $\lambda$ of the theory.