Hawking radiation of Reissner-Nordstrom-de Sitter black hole by Hamilton-Jacobi method

TL;DR

This paper investigates Hawking radiation of Reissner-Nordstrom-de Sitter black holes using the Hamilton-Jacobi method, revealing nonthermal spectra and confirming the relation between tunneling rate and entropy change.

Contribution

It extends the Hamilton-Jacobi tunneling approach to charged de Sitter black holes, analyzing both thermal and nonthermal radiation spectra.

Findings

Tunneling rate relates to change in Bekenstein-Hawking entropy.

Emission spectrum deviates from pure thermal spectrum.

Results align with Parikh and Wilczek's tunneling framework.

Abstract

In Refs. (M. Atiqur Rahman, M. Ilias Hossain (2012) Phys. Lett. B {\bf 712} 1), we have developed Hamilton-Jacobi method for dynamical spacetime and discussed Hawking radiation of Schwarzschild-de Sitter black hole by massive particle tunneling method. In this letter, we have investigated the hawking purely thermal and nonthermal radiations of Reissner-Nordstr\"{o}m-de Sitter (RNdS) black hole. We have considered energy and angular momentum as conserved and shown 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 results we have obtained for RNdS black hole is also in accordance with Parikh and Wilczek\rq s opinion and recovered the new result for Hawking radiation of RNdS black hole.