Brane Decay of a (4+n)-Dimensional Rotating Black Hole. III: spin-1/2 particles

TL;DR

This paper investigates the emission of spin-1/2 fermionic particles from higher-dimensional rotating black holes, analyzing how their Hawking radiation depends on black hole parameters and spacetime dimensions.

Contribution

It extends previous studies by providing a comprehensive analysis of fermionic Hawking radiation from rotating black holes in higher dimensions, including angular distributions and emission rates.

Findings

Emission rates depend on black hole angular momentum and spacetime dimension

Angular distribution of emitted fermions is thoroughly characterized

Results are valid for arbitrary particle energies and black hole parameters

Abstract

In this work, we have continued the study of the Hawking radiation on the brane from a higher-dimensional rotating black hole by investigating the emission of fermionic modes. A comprehensive analysis is performed that leads to the particle, power and angular momentum emission rates, and sheds light on their dependence on fundamental parameters of the theory, such as the spacetime dimension and angular momentum of the black hole. In addition, the angular distribution of the emitted modes, in terms of the number of particles and energy, is thoroughly studied. Our results are valid for arbitrary values of the energy of the emitted particles, dimension of spacetime and angular momentum of the black hole, and complement previous results on the emission of brane-localised scalars and gauge bosons.