Modified Hawking temperatures of black holes in Lorentz violation theory

Abstract

In this paper, the tunneling of scalar particles near the event horizons of Riemann space time, BTZ black hole and Schwarzschild-de Sitter black hole are investigated by applying Hamilton-Jacobi equation with Lorentz violation theory in curved space time. The modified Hamilton-Jacobi equation is derived from Klein-Gordon equation of scalar particles induced by Lorentz violation theory in curved space time. The Hawking temperatures of Riemann space time and the BTZ black hole are modified due to the effect of Lorentz violation theory. Moreover, the Bekenstein-Hawking entropy near the event horizon of Schwarzschild-de Sitter black hole is also modified due to Lorentz violation theory. It is observed that the modified values of Hawking temperatures and change in Bekenstein-Hawking entropy depend upon the ether-like vectors u α .

Correction of Lorentz breaking theory to quantum tunneling radiation and entropy of black hole in gravity’s rainbow

“…The magnitude of this correction term is the Planck scale [28][29][30][31]. Starting from the dynamic equations of bosons and fermions, the study of tunneling radiation of black holes by combining semi-classical theory with Lorentz breaking theory is a subject worthy of attention [32][33][34][35][36][37][38][39][40][41][42][43][44]. Therefore, this paper combines the semi-classical theory, beyond the semiclassical theory and the Lorentz breaking theory, and uses the accurate method to modify the dynamic equations of bosons and fermions to study the quantum tunneling radiation characteristics of Schwarzschild black holes in gravity's rainbow.…”