Entropy production from quasinormal modes

Abstract

Horizons of black branes have an associated entropy current with non-negative divergence. We compute this divergence in a late-time transseries expansion for an inhomogeneous system evolving towards a maximally symmetric asymptotically anti-de Sitter black brane. The horizon area equilibrates on half the time-scale set by the dominant quasinormal mode and we find a simple analytic expression for this evolution purely in terms of the background and the quasinormal mode frequencies. This computation does not require a gradient expansion and is thus non-perturbative in momenta. We generalize this to include scalar and gauge field matter in any number of dimensions. Restricting to homogeneous evolution we match and prove earlier numerical work showing that the apparent horizon entropy saturates the area theorem, in that its time derivative periodically vanishes. The same is true for spherically symmetric evolution towards the Schwarzschild black hole.

References in corpus (21)

• The Large N Limit of Superconformal Field Theories and Supergravity
• Holographic Derivation of Entanglement Entropy from AdS/CFT
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• The World as a Hologram
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• Quasinormal modes and holography
• Dimensional Reduction in Quantum Gravity
• Local Fluid Dynamical Entropy from Gravity
• Hydrodynamic gradient expansion in gauge theory plasmas
• Strong coupling isotropization of non-Abelian plasmas simplified
• Decoding the Apparent Horizon: A Coarse-Grained Holographic Entropy
• Holographic isotropization linearized
• Resurgence and Hydrodynamic Attractors in Gauss-Bonnet Holography
• The holographic dual of a Riemann problem in a large number of dimensions
• The large proper-time expansion of Yang-Mills plasma as a resurgent transseries
• Holographic Entropy Production
• Black Brane Entropy and Hydrodynamics
• On the apparent horizon in fluid-gravity duality
• Master equations and stability of Einstein-Maxwell-scalar black holes
• Holographic Bjorken Flow at Large-D
• Black hole collapse and democratic models

Cited by in corpus (5)

• Thermal three-point functions from holographic Schwinger-Keldysh contours
• Violation of energy conditions and entropy production in holographic Bjorken flow
• Hydrodynamic attractors for the speed of sound in holographic Bjorken flow
• Hybrid thermalization in the large $N$ limit
• Homogeneous isotropization dynamics and entropy production in a hot and dense strongly interacting fluid