Charged black holes with dark halos

TL;DR

This paper extends a recent exact solution of a supermassive black hole in a dark matter halo by generating a charged and magnetized version using a solution-generating technique, revealing new physical properties.

Contribution

It introduces a novel charged and magnetized black hole solution within a dark matter halo using a generalized transformation method.

Findings

Derived an exact charged black hole solution with dark halo

Analyzed physical properties of the charged solution

Presented a magnetized version of the solution

Abstract

Recently, Cardoso et al. constructed an exact solution of Einstein's equations that describes a supermassive black hole immersed into a dark matter halo. In this work use a solution-generating technique, which is a direct generalization of some of the Ehlers-Harrison transformation in the Ehlers formalism in order to construct in an exact analytical form the charged version of the Cardoso et al. solution. We describe some of its physical properties and, finally, we also present its magnetized version.