Gravitational Tunneling in Lorentz Violating Gravity

TL;DR

This paper demonstrates that universal horizons in Lorentz violating gravity emit Hawking radiation with a temperature influenced by high-energy dispersion, linking these horizons to thermodynamics similarly to general relativity.

Contribution

It shows that universal horizons in Lorentz violating gravity emit Hawking radiation, establishing their thermodynamic significance and extending black hole thermodynamics beyond general relativity.

Findings

Universal horizons emit Hawking radiation.

Temperature depends on high-energy dispersion relations.

Results align with alternative derivations in the literature.

Abstract

Black holes in Lorentz violating gravity, such as Einstein--Aether or Horava--Lifshitz Gravity, are drastically different from their general relativistic siblings. Although they allow for superluminal motion in their vicinity, they still exhibit an absolute causal boundary in the form of a universal horizon. By working in the tunneling picture for a gravitating scalar field, we show that universal horizons emit Hawking radiation in a manner akin to standard results in General Relativity, with a temperature controlled by the high-energy behavior of the dispersion relation of the gravitating field, and in agreement with alternative derivations in the literature. Our results substantiate the link between the universal horizon and thermodynamics in Lorentz violating theories.