Rotating charged Black Holes in Einstein-Born-Infeld theories and their ADM mass

TL;DR

This paper derives a solution for slowly rotating charged black holes in Einstein-Born-Infeld theory, analyzing their geometry, horizons, and how nonlinear electromagnetic fields modify ADM mass and angular momentum.

Contribution

It provides the first known solution for slowly rotating black holes with Born-Infeld charge and examines the effects of nonlinear electromagnetic fields on their ADM properties.

Findings

Derived the metric for slowly rotating Einstein-Born-Infeld black holes.

Analyzed the geometrical structure and horizons of these black holes.

Showed how nonlinear electromagnetic fields alter ADM mass and angular momentum.

Abstract

In this work, the solution of the Einstein equations for a slowly rotating black hole with Born-Infeld charge is obtained. Geometrical properties and horizons of this solution are analyzed. The conditions when the ADM mass (as in the nonlinear static cases) and the ADM angular momentum of the system have been modified by the non linear electromagnetic field of the black hole, are considered.