The second law of black hole mechanics in effective field theory
Stefan Hollands, Áron D. Kovács, Harvey S. Reall
Abstract
A bstract We investigate the second law of black hole mechanics in gravitational theories with higher derivative terms in the action. Wall has described a method for defining an entropy that satisfies the second law to linear order in perturbations around a stationary black hole. We show that this can be extended to define an entropy that satisfies the second law to quadratic order in perturbations, provided that one treats the higher derivative terms in the sense of effective field theory. We also address some outstanding issues with Wall’s method, in particular its gauge invariance and its relation to the Iyer-Wald entropy.
Topics & Concepts
Entropy (arrow of time)PhysicsClassical mechanicsQuadratic equationBlack hole thermodynamicsMathematicsLawTheoretical physicsQuantum mechanicsGeometryPolitical scienceBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesPulsars and Gravitational Waves Research