Hawking Radiation of Dirac Particles in a Variable-mass Kerr Space-time

TL;DR

This paper investigates Hawking radiation of Dirac particles in a dynamic Kerr black hole, revealing how the event horizon's shape and temperature vary with time and angle, and highlighting differences in fermionic spectra.

Contribution

It introduces a method to analyze Dirac particle radiation in non-stationary Kerr space-times, deriving horizon location, temperature, and spectral features.

Findings

Event horizon location depends on time and angle.

Horizon temperature varies with time and angle.

Fermi-Dirac spectrum has a residual term absent in Bose-Einstein spectrum.

Abstract

Hawking effect of Dirac particles in a variable-mass Kerr space-time is investigated by using a method called as the generalized tortoise coordinate transformation. The location and the temperature of the event horizon of the non-stationary Kerr black hole are derived. It is shown that the temperature and the shape of the event horizon depend not only on the time but also on the angle. However, the Fermi-Dirac spectrum displays a residual term which is absent from that of Bose-Einstein distribution.