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

TL;DR

This paper introduces a new class of extremal rotating black hole solutions in odd-dimensional spacetime, incorporating Born-Infeld electric charge through higher-order perturbation theory, and analyzes their physical properties.

Contribution

It develops perturbative extremal Myers-Perry black hole solutions with Born-Infeld charge in odd dimensions, extending previous solutions with nonlinear electrodynamics.

Findings

Gyromagnetic ratio is modified by charge and Born-Infeld parameter.

Solutions are obtained up to third order in perturbation theory.

Physical properties of the black holes are analyzed.

Abstract

Employing higher order perturbation theory, we find a new class of perturbative extremal rotating black hole solutions with Born-Infeld electric charge in odd D-dimensional spacetime. The seed solution is an odd dimensional extremal Myers-Perry black hole with equal angular momenta to which a perturbative nonlinear electric Born-Infeld field charge q is added maintaining the extremality condition. The perturbations are performed up to third order. We also study some physical properties of these black holes. In particular, it is shown that the values of the gyromagnetic ratio of the black holes are modified by the perturbative parameter q and the Born-Infeld parameter {\beta}.