Gravitational Collapse With Dark Energy And Dark Matter In Ho\v{r}ava-Lifshitz Gravity

TL;DR

This paper investigates the gravitational collapse of a dust star within Hořava-Lifshitz gravity, considering dark energy modeled by Chaplygin gases, and finds that dark energy does not prevent collapse, with outcomes varying by universe curvature.

Contribution

It introduces a study of gravitational collapse in Hořava-Lifshitz gravity incorporating Chaplygin gas dark energy models, highlighting the effects of dark energy on collapse outcomes.

Findings

Collapse leads to black hole formation in open and closed universes.

In flat universe, collapse is highly unlikely.

Dark energy does not hinder collapse in Hořava-Lifshitz gravity.

Abstract

In this work, the collapsing process of a spherically symmetric star, made of dust cloud, is studied in Ho\v{r}ava Lifshitz gravity in the background of Chaplygin gas dark energy. Two different classes of Chaplygin gas, namely, New variable modified Chaplygin gas and generalized cosmic Chaplygin gas are considered for the collapse study. Graphs are drawn to characterize the nature and to determine the possible outcome of gravitational collapse. A comparative study is done between the collapsing process in the two different dark energy models. It is found that for open and closed universe, collapse proceeds with an increase in black hole mass, the only constraint being that, relatively smaller values of $\Lambda$ has to be considered in comparison to $\lambda$. But in case of flat universe, possibility of the star undergoing a collapse in highly unlikely. Moreover it is seen that the most favourable environment for collapse is achieved when a combination of dark energy and dark matter is considered, both in the presence and absence of interaction. Finally, it is to be seen that, contrary to our expectations, the presence of dark energy does not really hinder the collapsing process in case of Ho\v{r}ava-Lifshitz gravity.