Greybody factors in a rotating black-hole background-II : fermions and gauge bosons

TL;DR

This paper analytically investigates the emission of fermions and gauge bosons from rotating higher-dimensional black holes, deriving absorption probabilities and Hawking radiation rates, and comparing them with numerical results.

Contribution

It provides new analytical solutions for emission rates of fermions and gauge bosons from rotating black holes, extending previous non-rotating analyses.

Findings

Analytical expressions for absorption probabilities and emission rates in low-energy, low-rotation regime.

Good agreement between analytical results and existing numerical data.

Different low-energy behaviors for fermions and gauge bosons, with universal high-energy limits.

Abstract

We study the emission of fermion and gauge boson degrees of freedom on the brane by a rotating higher-dimensional black hole. Using matching techniques, for the near-horizon and far-field regime solutions, we solve analytically the corresponding field equations of motion. From this, we derive analytical results for the absorption probabilities and Hawking radiation emission rates, in the low-energy and low-rotation case, for both species of fields. We produce plots of these, comparing them to existing exact numerical results with very good agreement. We also study the total absorption cross-section and demonstrate that, as in the non-rotating case, it has a different behaviour for fermions and gauge bosons in the low-energy limit, while it follows a universal behaviour -- reaching a constant, spin-independent, asymptotic value -- in the high-energy regime.