A Dynamical Solution in Horava-Lifshitz Gravity in the IR limit

TL;DR

This paper investigates whether null dust collapse can be a solution in Horava-Lifshitz gravity's IR limit, concluding that only static, Minkowski solutions are possible with null energy density.

Contribution

It demonstrates that in the IR limit of Horava-Lifshitz gravity, null dust collapse cannot produce dynamic solutions, only static Minkowski spacetime.

Findings

Null dust collapse leads to static solutions in IR Horava-Lifshitz gravity.

The only solution with null energy density is Minkowski spacetime.

Dynamic collapse solutions are not supported in this framework.

Abstract

Non-stationary null dust in a spherically symmetric spacetime is studied in the context of a general-covariant Horava-Lifshitz theory. The non-minimal coupling to matter is considered in the infrared limit. The aim of this paper is to study whether the collapse of a null dust-like fluid can be a solution of Ho\v{r}ava-Lifshitz theory in the infrared limit. We have shown that the unique possible solution is static. This solution represents a Minkowski spacetime since the energy density is null.