Modified Hawking temperature and entropy of Kerr-de Sitter black hole in Lorentz violation theory

TL;DR

This paper investigates how Lorentz violation theory modifies the Hawking temperature and entropy of Kerr-de Sitter black holes by analyzing scalar particle tunneling and deriving a modified Hamilton-Jacobi equation.

Contribution

It introduces a modified Hamilton-Jacobi equation in Lorentz violation theory and applies it to Kerr-de Sitter black holes to find altered Hawking temperatures and entropies.

Findings

Hawking temperature is modified by Lorentz violation effects.

Entropy changes depend on black hole parameters and ether-like vectors.

Both stationary and nonstationary Kerr-de Sitter black holes are analyzed.

Abstract

In this paper, we discuss the tunneling of scalar particles near the event horizon of stationary and nonstationary Kerr-de Sitter black hole using Lorentz violation theory in curved space time. The modified form of Hamilton-Jacobi equation is derived from the Klein-Gordon equation by applying Lorentz violation theory. The Hawking temperatures derived from stationary and nonstationary Kerr-de Sitter black holes are modified due to Lorentz violation theory. It is noted that the change in Bekenstein-Hawking entropy and modified Hawking temperatures of stationary and nonstationary Kerr-de Sitter black hole not only depend on the black hole parameters but also on ether like vectors ${\rm u^\alpha}$.