Black hole formation in perfect fluid collapse

TL;DR

This paper develops a class of perfect fluid collapse models that include pressure and inhomogeneity, demonstrating that black holes inevitably form rather than naked singularities, offering insights into cosmic censorship.

Contribution

It introduces generalized collapse models with pressure and inhomogeneity, showing black hole formation as the inevitable outcome of gravitational collapse.

Findings

Black holes are the necessary end state of collapse in these models.

Naked singularities cannot be formed as non-spacelike trajectories cannot escape.

Results shed light on the cosmic censorship hypothesis.

Abstract

We construct here a special class of perfect fluid collapse models which generalizes the homogeneous dust collapse solution in order to include non-zero pressures and inhomogeneities into evolution. It is shown that a black hole is necessarily generated as end product of continued gravitational collapse, rather than a naked singularity. We examine the nature of the central singularity forming as a result of endless collapse and it is shown that no non-spacelike trajectories can escape from the central singularity. Our results provide some insights into how the dynamical collapse works, and into the possible formulations of the cosmic censorship hypothesis, which is as yet a major unsolved problem in black hole physics.