Hawking non-thermal and Purely thermal radiations of Kerr-de Sitter black hole by Hamilton-Jacobi method

TL;DR

This paper investigates Hawking radiation of Kerr-de Sitter black holes using the Hamilton-Jacobi method, revealing non-thermal spectra and entropy corrections due to self-gravitation effects.

Contribution

It introduces a dynamical spacetime approach incorporating self-gravitation, showing deviations from pure thermal radiation in Kerr-de Sitter black holes.

Findings

Tunneling rate relates to Bekenstein-Hawking entropy change

Emission spectrum deviates from pure thermal spectrum

Provides correction to Hawking radiation of KdS black holes

Abstract

Incorporating Parikh and Wilczek's opinion to the Kerr de-Sitter (KdS) black hole Hawking non-thermal and purely thermal radiations have been investigated using Hamilton-Jacobi method. We have taken the background spacetime of KdS black hole as dynamical, involving the self-gravitation effect of the emitted particles, energy and angular momentum has been taken as conserved and show that the tunneling rate is related to the change of Bekenstein-Hawking entropy and the derived emission spectrum deviates from the pure thermal spectrum. The explored results gives a correction to the Hawking radiation of KdS black hole.