Spherically Symmetric Gravitational Collapse Of Inhomogeneous Dust Cloud In The Background Of Dark Energy

TL;DR

This paper investigates how inhomogeneous dust cloud collapse behaves in the presence of dark energy, revealing conditions under which black holes form or do not form during gravitational collapse.

Contribution

It analyzes the combined effects of dust and dark energy on gravitational collapse, highlighting scenarios where black hole formation is suppressed or enabled.

Findings

Collapse with only dust or dark energy can form black holes.

Presence of both dust and dark energy can prevent black hole formation.

Dark energy as a cosmological constant allows black hole formation.

Abstract

The present paper deals with the gravitational collapse of an inhomogeneous spherical star consisting of dust fluid in the background of dark energy components with linear equation of state. We discussed the development of apparent horizon to investigate the black-hole formation in gravitational collapsing process. The collapsing process is examined first separately for dust cloud and dark energy and then under the combined effect of dust interacting with dark energy. It is obtained that when only dust cloud or dark energy is present the collapse leads to the formation of black-hole under certain conditions. When both of them are present, collapsing star does not form black-hole. However when dark energy is considered as cosmological constant, the collapse leads to black hole formation.