Black hole radiation in the presence of a universal horizon

Abstract

In Hořava and Einstein-Æther theories of modified gravity, in spite of the violation of Lorentz invariance, spherically-symmetric stationary black hole solutions possess an inner universal horizon which separates field configurations into two disconnected classes. We compute the late time radiation emitted by a dispersive field propagating in such backgrounds. We fix the initial conditions on stationary modes by considering a regular collapsing geometry, and imposing that the state inside the infalling shell is vacuum. We find that the mode pasting across the shell is adiabatic at late time (large inside frequencies). This implies that large black holes emit a thermal flux with a temperature fixed by the surface gravity of the Killing horizon. In turn, this suggests that the universal horizon should play no role in the thermodynamical properties of these black holes.

19 pages, 9 figures, final version published in Physical Review D

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• On the first law of black holes with a universal horizon
• Spherically symmetric exact vacuum solutions in Einstein-aether theory
• Hawking Radiation in Lorentz Violating Gravity: A Tale of Two Horizons
• Time Orientability and Particle Production from Universal Horizons
• Gravitational Tunneling in Lorentz Violating Gravity
• Dispersion relation and surface gravity of universal horizons
• Lifshitz scaling, ringing black holes, and superradiance
• Strange Horizons: Understanding Causal Barriers Beyond General Relativity
• On the Resilience of Black Hole Evaporation: Gravitational Tunneling through Universal Horizons
• Rescuing the Unruh Effect in Lorentz Violating Gravity
• Black hole horizons at the extremal limit in Lorentz-violating gravity
• Exploring black hole mechanics in cotangent bundle geometries
• On the energy flow of $\lambda$ in Hořava-Lifshitz cosmology
• Rotating Black Holes in Three-Dimensional Horava Gravity Revisited