Charged and Rotating Black Holes in a Melvin-swirling Universe

TL;DR

This paper derives new exact solutions for charged, rotating black holes in a Melvin universe, analyzing their physical properties, singularities, and supersymmetry within supergravity theories.

Contribution

It introduces the most general dyonic Kerr-Newman black hole solutions in a Melvin universe using Ernst formalism and Ehlers-Harrison transformations.

Findings

Identification of singularities in various sub-cases

Analysis of physical properties of the solutions

Examination of supersymmetry conditions

Abstract

In this thesis, we present new exact solutions of Einstein-Maxwell's field equations, with the most general case being the dyonic Kerr-Newman black hole in a Melvin-swirling universe, obtained analytically using the Ehlers-Harrison transformations of the Ernst formalism. Subsequently, for each possible sub-case, we analyze the presence of singularities and study some physical properties. Finally, we examine their supersymmetry in the context of $N=2$, $d=4$ Supergravity.