Hawking Non-thermal and Thermal Radiations of Schwarzschild Anti-de Sitter Black Hole by Hamilton-Jacobi method

TL;DR

This paper investigates Hawking radiation of Schwarzschild Anti-de Sitter black holes using the Hamilton-Jacobi method, revealing non-thermal spectra and entropy-related corrections to the emission process.

Contribution

It introduces a self-gravitation and dynamical background approach to derive non-thermal radiation spectra for SAdS black holes, extending previous models.

Findings

Non-thermal radiation spectrum deviates from pure thermal spectrum.

Emission rates relate to change in Bekenstein-Hawking entropy.

Results align with Parikh and Wilczek's tunneling framework.

Abstract

The massive particles tunneling method has been used to investigate the Hawking non-thermal and purely thermal radiations of Schwarzschild Anti-de Sitter (SAdS) black hole. Considering the spacetime background to be dynamical, incorporate the self-gravitation effect of the emitted particles the imaginary part of the action has been derived from Hamilton-Jacobi equation. Using the conservation laws of energy and angular momentum we have showed that the non-thermal and purely thermal tunneling rates are related to the change of Bekenstein-Hawking entropy and the derived emission spectrum deviates from the pure thermal spectrum. The result obtained for SAdS black hole is also in accordance with Parikh and Wilczek\rq s opinion and gives a correction to the Hawking radiation of SAdS black hole.