Hawking radiation of rotating BTZ Black hole based on modified dispersion relation and Rarita-Schwinger equation

TL;DR

This paper explores how modified dispersion relations influence fermion tunneling and Hawking temperature in rotating BTZ black holes, revealing dependencies on black hole parameters and coupling constants, and analyzing entropy and heat capacity.

Contribution

It introduces a novel approach combining MDR and Rarita-Schwinger equations to study fermion tunneling in rotating BTZ black holes, highlighting the effects on Hawking temperature.

Findings

Modified Hawking temperature depends on radial and angular parameters.

MDR affects the tunneling process and temperature.

Entropy and heat capacity are analyzed in the context of MDR.

Abstract

In this paper, tunneling of fermions from rotating BTZ black hole is investigated using modified dispersion relation (MDR) and Rarita-Schwinger equation. The effect of modified dispersion relation (MDR) on the tunneling of fermions rises the Hawking temperature of rotating BTZ black hole. It is observed that the modified Hawking temperature of the black hole depends not only on the radial parameters of the black hole but also on the angular parameters of the black hole and the coupling constant \sigma . Further, the entropy and the heat capacity of the black hole are also studied.