The electrically charged BTZ black hole with self(anti-self) dual Maxwell field

TL;DR

This paper presents an exact solution to the Einstein-Maxwell equations in 2+1 dimensions, describing an electrically charged extremal black hole with angular momentum under a self(anti-self)dual Maxwell field assumption.

Contribution

It introduces a novel exact solution for a charged black hole with angular momentum in 2+1 dimensions using a self(anti-self)dual Maxwell field.

Findings

Solution describes an extremal black hole with charge and angular momentum

Utilizes self(anti-self)dual Maxwell field assumption

Advances understanding of lower-dimensional black hole solutions

Abstract

The Einstein-Maxwell equations with a negative cosmological constant in 2+1 spacetime dimensions discussed by Banados, Teitelboim and Zanelli are solved by assuming a self(anti-self)dual equation. The solution describes an electrically charged extreme black hole with an angular momentum.