The spectrum of endstates of gravitational collapse with tangential stresses

TL;DR

This paper classifies the possible endstates of gravitational collapse with tangential stresses, showing that strong tangential pressure can lead to naked singularities instead of black holes, depending on initial conditions and equations of state.

Contribution

It provides a comprehensive classification of collapse outcomes considering tangential stresses, extending previous models to include more general stress conditions.

Findings

Strong tangential stresses can produce naked singularities.

Collapse outcomes depend on initial data and equation of state.

Both homogeneous and inhomogeneous densities can lead to naked singularities.

Abstract

The final state--black hole or naked singularity--of the gravitational collapse of a marginally bound matter configuration in the presence of tangential stresses is classified, in full generality, in terms of the initial data and equation of state. If the tangential pressure is sufficiently strong, configurations that would otherwise evolve to a spacelike singularity, result in a locally naked singularity, both in the homogeneous and in the general, inhomogeneous density case.