Holographic Entropy Production

Abstract

The suspicion that gravity is holographic has been supported mainly by a variety of specific examples from string theory. In this paper, we propose that such a holography can actually be observed in the context of Einstein's gravity and at least a class of generalized gravitational theories, based on a definite holographic principle where neither is the bulk space-time required to be asymptotically AdS nor the boundary to be located at conformal infinity, echoing Wilson's formulation of quantum field theory. After showing the general equilibrium thermodynamics from the corresponding holographic dictionary, in particular, we provide a rather general proof of the equality between the entropy production on the boundary and the increase of black hole entropy in the bulk, which can be regarded as strong support to this holographic principle. The entropy production in the familiar holographic superconductors/superfluids is investigated as an important example, where the role played by the holographic renormalization is explained.

45 pages, comments are welcome; v2: 46 pages, references added, minor improvements/modifications, matching the version to appear in JHEP

References in corpus (46)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• The World as a Hologram
• Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
• Building an AdS/CFT superconductor
• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• The holographic principle
• Lectures on holographic methods for condensed matter physics
• Lecture Notes on Holographic Renormalization
• Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
• Holographic Superconductors
• Generalized gravitational entropy
• Lectures on Holographic Superfluidity and Superconductivity
• The Thermodynamics of Black Holes
• On the Holographic Renormalization Group
• The Holographic Bound in Anti-de Sitter Space
• Holography and hydrodynamics: diffusion on stretched horizons
• Viscosity, Black Holes, and Quantum Field Theory
• Universality of the shear viscosity in supergravity
• Holographic Probes of Anti-de Sitter Spacetimes
• Holographic and Wilsonian Renormalization Groups
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Gravity & Hydrodynamics: Lectures on the fluid-gravity correspondence
• The basics of gravitational wave theory
• Hydrodynamics of R-charged black holes
• The Microcanonical Functional Integral. I. The Gravitational Field
• Black Hole Entropy and the Dimensional Continuation of the Gauss-Bonnet Theorem
• A remark on the AdS/CFT correspondence and the renormalization group flow
• From Navier-Stokes To Einstein
• The "physical process" version of the first law and the generalized second law for charged and rotating black holes
• Wilsonian Approach to Fluid/Gravity Duality
• The holographic fluid dual to vacuum Einstein gravity
• The Incompressible Navier-Stokes Equations From Black Hole Membrane Dynamics
• Holography and Entanglement in Flat Spacetime
• New theoretical approaches to black holes
• Non-Relativistic Fluid Dual to Asymptotically AdS Gravity at Finite Cutoff Surface
• Counterterm Method in Lovelock Theory and Horizonless Solutions in Dimensionally Continued Gravity
• Area evolution, bulk viscosity and entropy principles for dynamical horizons
• Incompressible Navier-Stokes Equation from Einstein-Maxwell and Gauss-Bonnet-Maxwell Theories
• Holographic Wilsonian RG Flow and Sliding Membrane Paradigm
• Holographic charged fluid dual to third order Lovelock gravity
• On the apparent horizon in fluid-gravity duality
• Mixed RG Flows and Hydrodynamics at Finite Holographic Screen
• Thermodynamics on the Maximally Symmetric Holographic Screen and Entropy from Conical Singularities
• Holographic RG flows and transport coefficients in Einstein-Gauss-Bonnet-Maxwell theory
• Bulk Viscosity of dual Fluid at Finite Cutoff Surface via Gravity/Fluid correspondence in Einstein-Maxwell Gravity

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• Collective diffusion and quantum chaos in holography
• Holographic boiling and generalized thermodynamic description beyond local equilibrium
• The global monopole spacetime and its topological charge
• Holographic RG flow of thermo-electric transports with momentum dissipation
• Thermodynamic Properties of Holographic superfluids
• Holography without counter terms
• A topological charge of black holes
• Note on Zero Temperature Holographic Superfluids
• Holographic entropy production in a Bjorken expanding hot and dense strongly coupled quantum fluid
• The Last Lost Charge And Phase Transition In Schwarzschild AdS Minimally Coupled to a Cloud of Strings
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• Topological black holes in Einstein-Maxwell and 4D conformal gravities revisited
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• Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge
• A New Phase Transition Related to the Black Hole's Topological Charge
• On the holographic phase transitions at finite topological charge