Charge and mass effects on the evaporation of higher-dimensional rotating black holes

TL;DR

This paper investigates how charge and mass influence the evaporation process of higher-dimensional rotating black holes, combining electromagnetic field calculations, backreaction effects, and Hawking radiation analysis.

Contribution

It introduces a perturbative method to compute electromagnetic fields around charged brane black holes and analyzes Hawking radiation considering mass, charge, and backreaction effects.

Findings

Initial evaporation is not dominated by Schwinger discharge.

Electromagnetic fields are computed perturbatively on the brane.

Hawking radiation is studied using low energy and WKB approximations.

Abstract

To study the dynamics of discharge of a brane black hole in TeV gravity scenarios, we obtain the approximate electromagnetic field due to the charged black hole, by solving Maxwell's equations perturbatively on the brane. In addition, arguments are given for brane metric corrections due to backreaction. We couple brane scalar and brane fermion fields with non-zero mass and charge to the background, and study the Hawking radiation process using well known low energy approximations as well as a WKB approximation in the high energy limit. We argue that contrary to common claims, the initial evaporation is not dominated by fast Schwinger discharge.