Large rotating AdS black holes from fluid mechanics

Abstract

We use the AdS/CFT correspondence to argue that large rotating black holes in global AdS(D) spaces are dual to stationary solutions of the relativistic Navier-Stokes equations on S**(D-2). Reading off the equation of state of this fluid from the thermodynamics of non-rotating black holes, we proceed to construct the nonlinear spinning solutions of fluid mechanics that are dual to rotating black holes. In all known examples, the thermodynamics and the local stress tensor of our solutions are in precise agreement with the thermodynamics and boundary stress tensor of the spinning black holes. Our fluid dynamical description applies to large non-extremal black holes as well as a class of large non-supersymmetric extremal black holes, but is never valid for supersymmetric black holes. Our results yield predictions for the thermodynamics of all large black holes in all theories of gravity on AdS spaces, for example, string theory on AdS(5) x S**5 and M theory on AdS(4) x S**7 and AdS(7) x S**4.

62 pages, 1 figure. v2: references, typos

Cited by in corpus (78)

• Fluid dynamics of R-charged black holes
• Hydrodynamics from charged black branes
• Constraints on Fluid Dynamics from Equilibrium Partition Functions
• Thermodynamics, gravitational anomalies and cones
• Thermodynamics and Instabilities of a Strongly Coupled Anisotropic Plasma
• Holographic Hydrodynamics with a Chemical Potential
• Weak Field Black Hole Formation in Asymptotically AdS Spacetimes
• Conformal Nonlinear Fluid Dynamics from Gravity in Arbitrary Dimensions
• Parity-Violating Hydrodynamics in 2+1 Dimensions
• The $\Lambda$-BMS${}_4$ group of dS${}_4$ and new boundary conditions for AdS${}_4$
• (Non)-Renormalization of the Chiral Vortical Effect Coefficient
• Forced Fluid Dynamics from Gravity
• A theory of first order dissipative superfluid dynamics
• Anomaly/Transport in an Ideal Weyl gas
• Anomaly inflow and thermal equilibrium
• Chern-Simons terms from thermal circles and anomalies
• Dissipative superfluid dynamics from gravity
• Hawking radiation from AdS black holes
• Black Holes as Lumps of Fluid
• Effective actions for anomalous hydrodynamics
• Turbulent flows for relativistic conformal fluids in 2+1 dimensions
• Hydrodynamics of simply spinning black holes & hydrodynamics for spinning quantum fluids
• Anisotropic Drag Force from 4D Kerr-AdS Black Holes
• Spin polarization dynamics in the Gubser-expanding background
• Dyonic AdS black holes from magnetohydrodynamics
• Hydrodynamics of cold holographic matter
• Gravitational quasinormal modes of AdS black branes in d spacetime dimensions
• The Fluid/Gravity Correspondence: a new perspective on the Membrane Paradigm
• Blackfolds in (Anti)-de Sitter Backgrounds
• Universal Asymptotics for High Energy CFT Data
• Holographic Brownian Motion and Time Scales in Strongly Coupled Plasmas
• Holographic drag force in 5d Kerr-AdS black hole
• Causal three-point functions and nonlinear second-order hydrodynamic coefficients in AdS/CFT
• Black hole microstates in AdS
• Anomalies and the Helicity of the Thermal State
• Non-equilibrium dynamics and $Ad{S}_4$ Robinson-Trautman
• Holographic perfect fluidity, Cotton energy-momentum duality and transport properties
• Analytic solutions of relativistic dissipative spin hydrodynamics with radial expansion in Gubser flow
• Effective field theory of stochastic diffusion from gravity
• Integrability in conformally coupled gravity: Taub-NUT spacetimes and rotating black holes
• An Action for and Hydrodynamics from the improved Large D membrane
• Spacetime emergence via holographic RG flow from incompressible Navier-Stokes at the horizon
• Bifurcation of Plasma Balls and Black Holes to Lobed Configurations
• Black rings in global anti-de Sitter space
• Thermodynamics of Plasmaballs and Plasmarings in 3+1 Dimensions
• Third-order relativistic hydrodynamics: dispersion relations and transport coefficients of a dual plasma
• Non-conformal Hydrodynamics in Einstein-dilaton Theory
• Probing the holographic model of $\mathcal{N}=4$ SYM rotating quark-gluon plasma
• Transport in non-conformal holographic fluids
• Holographic electrical and thermal conductivity in strongly coupled gauge theory with multiple chemical potentials
• Holographic Zero Sound from Spacetime-Filling Branes
• From quasinormal modes of rotating black strings to hydrodynamics of a moving CFT plasma
• Holographic Thermal Helicity
• On Dumb Holes and their Gravity Duals
• Asymptotically (A)dS dilaton black holes with nonlinear electrodynamics
• Phase diagram for non-axisymmetric plasma balls
• Thermal transitions of metastable M-branes
• A leading-order comparison between fluid-gravity and membrane-gravity dualities
• Near-Extremal Fluid Mechanics
• Collective dynamics of polarized spin-half fermions in relativistic heavy-ion collisions
• Fluid-gravity and membrane-gravity dualities - Comparison at subleading orders
• Dual Fluid for the Kerr Black Hole
• Kerr-AdS Black Holes and Force-Free Magnetospheres
• Generalization of Bantilan-Ishi-Romatschke flow to Magnetohydrodynamics
• Fluid dynamics on ultrastatic spacetimes and dual black holes
• Remarks on holographic models of the Kerr-AdS${}_5$ geometry
• On the nonexistence of extreme anti-de Sitter black rings
• On the gravity dual of strongly coupled charged plasma
• Thermodynamics of Near BPS Black Holes in AdS${}_4$ and AdS${}_7$
• Large charge operators at large spin from relativistically rotating vortices
• Holographic pressure and volume for black holes
• Thermal Product Formula for Shear Modes
• Small Amplitude Forced Fluid Dynamics from Gravity at T = 0
• Vacuum energy in Kerr-AdS black holes
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds
• Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS${}_4$ Black Holes
• On Subextensive Corrections to Fluid Dynamics from Gravity
• Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT${}_2$ and Viscosity