Nature of singularity formed by the gravitational collapse in Husain space-time with electromagnetic field and scalar field

TL;DR

This paper investigates gravitational collapse in Husain space-time with electromagnetic and scalar fields, finding that collapse always results in naked singularities, challenging the cosmic censorship hypothesis across multiple dimensions.

Contribution

It provides a comprehensive analysis of singularity formation in Husain space-time with fields, showing the universal emergence of naked singularities regardless of parameter choices.

Findings

Collapse always results in naked singularities across all dimensions.

Less likelihood of black hole formation in the studied scenarios.

Counterexample to the cosmic censorship hypothesis.

Abstract

In this work, we have investigated the outcome of gravitational collapse in Husain space-time in the presence of electro-magnetic and a scalar field with potential. In order to study the nature of the singularity, global behavior of radial null geodesics have been taken into account. The nature of singularities formed has been thoroughly studied for all possible variations of the parameters. These choices of parameters has been presented in tabular form in various dimensions. It is seen that irrespective of whatever values of the parameters chosen, the collapse always results in a naked singularity in all dimensions. There is less possibility of formation of a black hole. Hence this work is a significant counterexample of the cosmic censorship hypothesis.