Extra Spin-Rotation Coupling Effect in a Radiating Kerr Space-time

TL;DR

This paper derives wave equations for various massless particles in a radiating Kerr spacetime and discovers an additional spin-rotation coupling effect influencing Hawking radiation spectra, especially for particles with spin 1/2 and 1.

Contribution

It introduces a new spin-rotation coupling effect in Hawking radiation spectra for massless particles with spin in a radiating Kerr black hole.

Findings

Extra spin-rotation interaction affects Hawking radiation spectra.

The effect depends on the helicity states of particles with higher spin.

The coupling is more pronounced for particles with spin 1/2 and 1.

Abstract

Source-less wave equations are derived for massless scalar, neutrino and electromagnetic perturbations of a radiating Kerr space-time, and the Hawking radiation of massless particles with spin $s =0, 1/2$ and 1 in this geometry is investigated by using a method of the generalized tortoise coordinate transformation. An extra interaction between the spin of particles and the rotation of the hole displays in the thermal spectra of Hawking radiation of massless particles with spin $s = 1/2, 1$ in the evaporating Kerr space-time. The character of such effect is its obvious dependence on different helicity states of particles with higher spin.