Singularities of Noncompact Charged Objects

TL;DR

This paper models noncompact charged objects using noncommutative field theory, revealing singularities at the origin and analyzing horizon structures and Hawking radiation effects.

Contribution

It introduces a new density distribution approach in noncommutative field theory for charged objects, analyzing their singularities and horizon properties.

Findings

Densities and Ricci scalar are singular at the origin.

Horizon structure depends on mass, with possible one, two, or no horizons.

Black hole evaporation leads to extremal black holes with one horizon.

Abstract

We formulate a model of noncompact spherical charged objects in the framework of noncommutative field theory. The Einstein-Maxwell field equations are solved with charged anisotropic fluid. We choose the forms of mass and charge densities which belong to two parameter family of density distribution functions instead of densities as Gaussian width length. It is found that the corresponding densities and the Ricci scalar are singular at origin whereas the metric is nonsingular indicating a spacelike singularity. The numerical solution of the horizon equation implies that there are either two or one or no horizon depending on the mass. We also evaluate the Hawking temperature which implies that a black hole with two horizons is evaporated to an extremal black hole with one horizon.