Hawking Radiation of Dirac Particles in a Variable-mass Kerr Black Hole

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 depend on time and angle, and identifying a new spin-rotation effect in the spectrum.

Contribution

It introduces a method to analyze Dirac particle radiation in non-stationary Kerr black holes, highlighting the dependence of horizon properties on time and angle, and discovering a novel spin-rotation effect.

Findings

Event horizon location and temperature depend on time and polar angle.

The Fermi-Dirac spectrum exhibits a unique spin-rotation effect.

The shape of the event horizon varies with time and angle.

Abstract

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