Black Hole Zeroth Law in Higher Curvature Gravity

Abstract

The zeroth law of black hole mechanics is an assertion of constancy of the surface gravity on a stationary Killing horizon. The Hawking temperature of the black hole horizon is proportional to the surface gravity. Therefore, the constancy of the surface gravity is reminiscent of the zeroth law of ordinary thermodynamics. In this work, we provide a proof of the zeroth law in Lanczos-Lovelock theories of gravity, where the Einstein Hilbert action is supplemented by higher curvature terms.

arXiv comment5 Pages, No Figure

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• Dynamical Black Hole Entropy in Effective Field Theory
• Non-minimal coupling of scalar and gauge fields with gravity: an entropy current and linearized second law
• Thermodynamic structure of a generic null surface and the zeroth law in scalar-tensor theory
• A stationary black hole must be axisymmetric in effective field theory
• Noether charge formalism for Weyl invariant theories of gravity
• Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes
• Gauge Invariant Derivation of Zeroth and First Laws of Black Hole Thermodynamics
• Constraining the topological Gauss-Bonnet coupling from GW150914
• On the maximally symmetric vacua of generic Lovelock gravities
• Generalized Second Law for Non-minimally Coupled Matter Theories
• Birkhoff's Theorem and Uniqueness: A Peek Beyond General Relativity
• Scalar-hairy Lovelock gravity respects zeroth law
• Black Hole Zeroth Law in Horndeski Gravity
• Stationary Stars Are Axisymmetric in Higher Curvature Gravity
• First Law of Black Hole in the Gravitational Electromagnetic System