Extremal Charged Rotating Dilaton Black Holes in Odd Dimensions

TL;DR

This paper introduces a new class of extremal charged rotating black hole solutions in odd dimensions within Einstein-Maxwell-dilaton theory, using higher order perturbation theory starting from Myers-Perry solutions.

Contribution

It develops a perturbative method to construct extremal charged rotating black holes with dilaton fields in odd dimensions, extending previous solutions.

Findings

Derived explicit perturbative solutions up to 4th order in 5D

Analyzed the dependence of physical properties on charge and dilaton coupling

Provided insights into the structure of extremal black holes in higher dimensions

Abstract

Employing higher order perturbation theory, we find a new class of charged rotating black hole solutions of Einstein-Maxwell-dilaton theory with general dilaton coupling constant. Starting from the Myers-Perry solutions, we use the electric charge as the perturbative parameter, and focus on extremal black holes with equal-magnitude angular momenta in odd dimensions. We perform the perturbations up to 4th order for black holes in 5 dimensions and up to 3rd order in higher odd dimensions. We calculate the physical properties of these black holes and study their dependence on the charge and the dilaton coupling constant.