A Time-Like Naked Singularity

TL;DR

This paper constructs spherically symmetric collapse models with negative pressures that can produce a visible, timelike naked singularity, providing insights into conditions affecting cosmic censorship.

Contribution

It introduces a new class of collapse models with negative pressures that result in a timelike naked singularity, advancing understanding of singularity visibility.

Findings

Naked singularities can form with negative pressure matter distributions.

The singularity's visibility duration depends on energy distribution.

The causal structure varies with the mass function chosen.

Abstract

We construct a class of spherically symmetric collapse models in which a naked singularity may develop as the end state of collapse. The matter distribution considered has negative radial and tangential pressures, but the weak energy condition is obeyed throughout. The singularity forms at the center of the collapsing cloud and continues to be visible for a finite time. The duration of visibility depends on the nature of energy distribution. Hence the causal structure of the resulting singularity depends on the nature of the mass function chosen for the cloud. We present a general model in which the naked singularity formed is timelike, neither pointlike nor null. Our work represents a step toward clarifying the necessary conditions for the validity of the Cosmic Censorship Conjecture.