Generalized Reissner-Nordstr\"om solution in Metric-Affine Gravity

TL;DR

This paper derives a generalized Reissner-Nordström solution within metric-affine gravity, incorporating electric, magnetic, and gravito-magnetic charges, along with a cosmological constant, extending classical black hole solutions.

Contribution

It introduces new exact solutions in metric-affine gravity with multiple charge types and discusses their charge configurations, expanding the understanding of charged black holes in this theory.

Findings

Derived generalized Reissner-Nordström solutions with multiple charges.

Identified special cases including monopole solutions.

Discussed charge assignments and their physical implications.

Abstract

We present the generalized Reissner-Nordstr\"om solution of the field equations of metric-affine gravity (MAG), endowed with electric and magnetic charges, as well as with gravito-electric and gravito-magnetic charges and a cosmological constant term. Moreover, the case $M=e_o$, i.e. mass equal to electric charge and $\lambda=0$, corresponds to an electrically and magnetically charged monopole. Also further multipole solutions are obtained. The charge assignments of the solutions is discussed.