Generalized second law at linear order for actions that are functions of Lovelock densities

Abstract

In this article we consider the second law of black holes (and other causal horizons) in theories where the gravitational action is an arbitrary function of the Lovelock densities. We show that there exists an entropy which increases locally, for linearized perturbations to regular Killing horizons. In addition to a classical increase theorem, we also prove a generalized second law for semiclassical, minimally-coupled matter fields.

19 pages, no figues, v2 references and minor comments added, v3 Ref. 4 & typos in Eq. 14, 27, 40 corrected

References in corpus (5)

• Holography of Gravitational Action Functionals
• Thermodynamic structure of Lanczos-Lovelock field equations from near-horizon symmetries
• Topological deformation of isolated horizons
• Ten Proofs of the Generalized Second Law
• Entropy increase during physical processes for black holes in Lanczos-Lovelock gravity

Cited by in corpus (38)

• Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
• Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
• A Quantum Focussing Conjecture
• Universality of corner entanglement in conformal field theories
• Entanglement entropy and nonabelian gauge symmetry
• Aspects of general higher-order gravities
• A Second Law for Higher Curvature Gravity
• Entanglement equilibrium for higher order gravity
• The holographic entropy increases in quadratic curvature gravity
• Black Hole Thermodynamics: General Relativity and Beyond
• An entropy current for dynamical black holes in four-derivative theories of gravity
• Entropy functionals and c-theorems from the second law
• Towards a second law for Lovelock theories
• Higher-curvature corrections to holographic entanglement entropy in geometries with hyperscaling violation
• A Survey of Black Hole Thermodynamics
• The Quantum Null Energy Condition in Curved Space
• Noether Current, Black Hole Entropy and Spacetime Torsion
• The zeroth law of black hole thermodynamics in arbitrary higher derivative theories of gravity
• Non-minimal coupling of scalar and gauge fields with gravity: an entropy current and linearized second law
• Violating the Quantum Focusing Conjecture and Quantum Covariant Entropy Bound in $d\ge 5$ dimensions
• Emergent Gravity in a Holographic Universe
• Covariant entropy bound beyond general relativity
• Constraining the topological Gauss-Bonnet coupling from GW150914
• Higher order gravities and the Strong Equivalence Principle
• Linearised Second Law for Higher Curvature Gravity and Non-Minimally Coupled Vector Fields
• Generalized Gravitational Entropy from Total Derivative Action
• Investigating the Linearized Second Law in Horndeski Gravity
• Black Hole Entropy production and Transport coefficients in Lovelock Gravity
• RG Flow and Thermodynamics of Causal Horizons in Higher-Derivative AdS Gravity
• Entropy-current for dynamical black holes in Chern-Simons theories of gravity
• A holographic proof of the universality of corner entanglement for CFTs
• Higher-Curvature Gravity, Black Holes and Holography
• Generalized Covariant Entropy Bound in Lanczos-Lovelock Gravity
• Higher curvature self-interaction corrections to Hawking Radiation
• Iyer-Wald ambiguities and gauge covariance of Entropy current in Higher derivative theories of gravity
• Generalized Second Law for Non-minimally Coupled Matter Theories
• Revisited apparent horizon entropy and GSL in modified gravity
• An entropy current and the second law in higher derivative theories of gravity