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.
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Andrea Di Pinto (2024) studied this question.
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