Dynamical Black Hole Entropy in Effective Field Theory

Abstract

In recent work, Hollands, Kovács and Reall have built on previous work of Wall to provide a definition of dynamical black hole entropy for gravitational effective field theories (EFTs). This entropy satisfies a second law of black hole mechanics to quadratic order in perturbations around a stationary black hole. We determine the explicit form of this entropy for the EFT of 4d vacuum gravity including terms in the action with up to 6 derivatives. An open question concerns the gauge invariance of this definition of black hole entropy. We show that gauge invariance holds for the EFT of vacuum gravity with up to 6 derivatives but demonstrate that it can fail when 8 derivative terms are included. We determine an entropy for Einstein-Gauss-Bonnet theory by treating it as an EFT with vanishing 6 derivative terms.

References in corpus (5)

• A field-theory motivated approach to symbolic computer algebra
• Causality in gravitational theories with second order equations of motion
• The second law of black hole mechanics in effective field theory
• Black Hole Zeroth Law in Higher Curvature Gravity
• The zeroth law of black hole thermodynamics in arbitrary higher derivative theories of gravity

Cited by in corpus (6)

• Dynamical entropy of charged black objects
• Entropy-current for dynamical black holes in Chern-Simons theories of gravity
• Quasinormal Modes and Shadows of Black Holes in Infinite Derivative Theory of Gravity
• Iyer-Wald ambiguities and gauge covariance of Entropy current in Higher derivative theories of gravity
• Perturbative Renormalisation Group Improved Black Hole Solution and its Quasinormal Modes
• Holographic Entanglement Entropy for Brane-World Higher Derivative Gravity