Gravitational Collapse in Constant Potential Bath

TL;DR

This paper investigates gravitational collapse of null radiation in a constant potential environment, revealing the formation of both naked singularities and black holes, and discussing their stability implications.

Contribution

It introduces analysis of gravitational collapse in a constant potential background, highlighting the duality and stability aspects of naked singularities and black holes.

Findings

Naked singularities and black holes can both form as collapse outcomes.

Part of the naked singularity spectrum gets covered in the dual-Vaidya region.

Implications for the stability of naked singularities are discussed.

Abstract

We analyse here the gravitational collapse of directed null radiation in a background with a constant potential such as one produced by a star system like galaxy in which the collapsing object is immersed. Both naked singularities and black holes are shown to be developing as the final outcome of the collapse. An interesting feature that emerges is that a part of the naked singularity spectrum in collapsing Vaidya region gets covered in the corresponding dual-Vaidya region, which corresponds to the Vaidya directed null radiation sitting in constant potential bath. The implications of such a result towards the issue of stability of naked singularities are discussed.