Modified entropy of Kerr-de Sitter black hole in Lorentz symmetry violation theory

TL;DR

This paper investigates how Lorentz violation theory alters the quantum tunneling radiation, Hawking temperature, entropy, and specific heat of Kerr-de Sitter black holes across different coordinate systems.

Contribution

It introduces modifications to black hole thermodynamics due to Lorentz violation theory, considering multiple coordinate systems and the Klein-Gordon equation transformation.

Findings

Hawking temperature expressions are modified by Lorentz violation.

Black hole entropy and specific heat capacities are affected.

Temperature and entropy can increase or decrease depending on ether-like vectors.

Abstract

The quantum tunneling radiation of scalar particles near the event horizon of Kerr-de Sitter black hole is investigated in three systems of coordinates namely naive coordinate system, Painleve coordinate system and Eddington coordinate system using Lorentz violation theory in curved space time. The Klein-Gordon equation of scalar particles is transformed into Hamilton-Jacobi equation by using Lorentz violation theory in curved space time. We observe that due to Lorentz violation theory, the expressions of Hawking temperatures, the Bekenstein-Hawking entropies and specific heat capacities near the event horizon of Kerr-de Sitter black hole are modified. The Hawking temperatures, entropies and specific heat capacities increase or decrease depending upon the choices of ether like vectors $u^\alpha$