Fermions tunneling of Kerr-Newman-de Sitter black hole in Lorentz violation theory

TL;DR

This paper investigates fermion tunneling from Kerr-Newman-de Sitter black holes within Lorentz violation theory, revealing modifications to Hawking temperature, entropy, and heat capacity influenced by Lorentz-violating parameters.

Contribution

It introduces a novel analysis of black hole tunneling incorporating Lorentz violation, extending previous models by including ether-like vector effects.

Findings

Hawking temperature is modified by Lorentz violation.

Entropy and heat capacity are affected by Lorentz-violating parameters.

Original thermodynamic quantities are recovered when Lorentz violation is absent.

Abstract

In this paper, the tunneling of fermions near the event horizon of Kerr-Newman-de Sitter black hole is investigated in frame dragging coordinate systems, Eddington coordinate system and Painleve coordinate system by using Dirac equation with Lorentz violation theory, Feynman prescription and WKB approximation. The Hawking temperature, heat capacity and change in Bekenstein-Hawking entropy are modified due to presence of Lorentz violation theory. The modified Hawking temperatures, heat capacities and change in Bekenstein-Hawking entropies near the event horizon of Kerr-Newman-de Sitter black hole would increase or decrease depending upon the choices of ether like vectors $u^{\alpha}$. In the absence of Lorentz violation theory, the original Hawking temperature, entropy and heat capacity are recovered.