Distributions of charged massive scalars and fermions from evaporating higher-dimensional black holes

TL;DR

This paper numerically analyzes the Hawking radiation spectra of charged, massive scalars and fermions emitted by higher-dimensional black holes, revealing unique charge splitting effects that depend on extra dimensions.

Contribution

It introduces a novel numerical method using a spinor-like first order system to compute Hawking spectra for charged, massive particles from higher-dimensional black holes.

Findings

Confirmed and extended previous analytic results on Hawking spectra.

Discovered inverted charge splitting at low energies in higher dimensions.

Showed charge splitting effects increase with the number of extra dimensions.

Abstract

A detailed numerical analysis is performed to obtain the Hawking spectrum for charged, massive brane scalars and fermions on the approximate background of a brane charged rotating higher-dimensional black hole constructed in arXiv:0907.5107. We formulate the problem in terms of a "spinor-like" first order system of differential wave equations not only for fermions, but for scalars as well and integrate it numerically. Flux spectra are presented for non-zero mass, charge and rotation, confirming and extending previous results based on analytic approximations. In particular we describe an inverted charge splitting at low energies, which is not present in four or five dimensions and increases with the number of extra dimensions. This provides another signature of the evaporation of higher-dimensional black holes in TeV scale gravity scenarios.