Collapse Dynamics of a Star of Dark Matter and Dark Energy

TL;DR

This paper investigates how dark energy influences the collapse process of a star composed of dark matter and dark energy, examining effects on horizon formation and cosmic censorship in a spherically symmetric model.

Contribution

It introduces a model of star collapse with inhomogeneous dark matter and anisotropic dark energy, analyzing the impact of dark energy on horizon formation and singularity development.

Findings

Dark energy affects the formation of apparent horizons during collapse.

Dark energy can delay or prevent horizon formation under certain conditions.

The presence of dark energy influences the nature of the resulting singularity.

Abstract

In this work, we study the collapse dynamics of an inhomogeneous spherically symmetric star made of dark matter (DM) and dark energy (DE). The dark matter is taken in the form of a dust cloud while anisotropic fluid is chosen as the candidate for dark energy. It is investigated how dark energy modifies the collapsing process and is examined whether dark energy has any effect on the Cosmic Censorship Conjecture. The collapsing star is assumed to be of finite radius and the space time is divided into three distinct regions $\Sigma$ and $V^{\pm}$, where $\Sigma$ represents the boundary of the star and $V^{-}(V^{+})$ denotes the interior (exterior) of the star. The junction conditions for matching $V^{\pm}$ over $\Sigma$ are specified. Role of Dark energy in the formation of apparent horizon is studied and central singularity is analyzed.