Extremal Myers-Perry black holes coupled to Born-Infeld electrodynamics in five dimensions

TL;DR

This paper develops a perturbative approach to construct extremal charged rotating black holes in five dimensions within Einstein--Born-Infeld theory, revealing how non-linear electrodynamics influences black hole physical properties.

Contribution

It introduces a perturbative method to generate extremal charged rotating black holes in five dimensions with Born-Infeld electrodynamics, extending previous solutions and analyzing their physical characteristics.

Findings

Born-Infeld parameter affects black hole charge and angular momentum.

Magnetic moment and gyromagnetic ratio can change sign due to non-linear electrodynamics.

Perturbative solutions show deviations from Maxwell-based black holes.

Abstract

We construct a new class of perturbative extremal charged rotating black hole solutions in five dimensions in the Einstein--Born-Infeld theory. We start with an extremal five-dimensional Myers-Perry black hole seed in which the two possible angular momenta have equal magnitude, and add Born-Infeld electrical charge keeping the extremality condition as a constraint. The perturbative parameter is assumed to be the electric charge $q$ and the perturbations are performed up to 4th order. We also study some physical properties of these black holes. It is shown that the perturbative parameter $q$ and the Born-Infeld parameter $\beta$ modify the values of the physical quantities of the black holes. The solution suggests that the magnetic moment and gyromagnetic ratio of the black hole spacetime change sign when the Born-Infeld character of the solution starts to depart strongly from the Maxwell limit. We venture an interpretation for the effect.