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

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 depends on the black hole parameters but also on ether-like vectors u alpha.

Automated summary

In this paper, we discuss the tunneling of scalar particles near the event horizon of both stationary and nonstationary Kerr-de Sitter black holes using Lorentz violation theory in curved space time. We derive the modified form of the Hamilton-Jacobi equation from the Klein-Gordon equation by applying Lorentz violation theory. The Hawking temperatures of the black holes are modified due to Lorentz violation, and the change in Bekenstein-Hawking entropy and modified Hawking temperatures depends not only on the black hole parameters but also on ether-like vectors u alpha.