Gravitational collapse due to dark matter and dark energy in the brane world scenario

TL;DR

This paper investigates how dark matter and dark energy influence gravitational collapse in a brane world scenario, revealing conditions that lead to black holes or naked singularities.

Contribution

It analyzes the effects of dark matter and dark energy, both separately and combined, on gravitational collapse outcomes in a brane world model.

Findings

Collapse can result in black holes or naked singularities.

Dark energy influences the nature of the singularity.

Interaction between dark matter and dark energy affects collapse outcomes.

Abstract

Gravitational collapse of FRW brane world embedded in a conformaly flat bulk is considered for matter cloud consists of dark matter and dark energy with equation of state $p=\epsilon \rho$ $(\epsilon<-{1/3})$. The effect of dark matter and dark energy is being considered first separately and then a combination of them both with and without interaction. In some cases the collapse leads to black hole in some other cases naked singularity appears.