Holographic Interpretation of Acoustic Black Holes

Abstract

With the attempt to find the holographic description of usual acoustic black holes in fluid, we construct an acoustic black hole formed in the $d$-dimensional fluid located at the timelike cutoff surface of a neutral black brane in asymptotically AdS${}_{d+1}$ spacetime, the bulk gravitational dual of the acoustic black hole is presented at first order of the hydrodynamic fluctuation. Moreover, the Hawking-like temperature of the acoustic black hole horizon is showed to be connected to the Hawking temperature of the real AdS black brane in the bulk, and the duality between the phonon scattering in the acoustic black hole and the sound channel quasinormal mode propagating in the bulk perturbed AdS black brane is extracted. We thus point out that, the acoustic black hole appeared in fluid, which was originally proposed as an analogous model to simulate Hawking radiation of the real black hole, is not merely an analogy, it can indeed be used to describe specific properties of the real AdS black holes, in the spirits of the fluid/gravity duality.

arXiv comment25 pages, no figures; title changed, minor changes, version to appear in PRD

References in corpus (29)

• Gauge Theory Correlators from Non-Critical String Theory
• The World as a Hologram
• A Stress Tensor for Anti-de Sitter Gravity
• The Holographic Weyl anomaly
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Nonlinear Fluid Dynamics from Gravity
• Analogue Gravity
• From AdS/CFT correspondence to hydrodynamics
• Acoustic black holes: horizons, ergospheres, and Hawking radiation
• Relativistic viscous hydrodynamics, conformal invariance, and holography
• Sonic analog of gravitational black holes in Bose-Einstein condensates
• Quasinormal modes and holography
• Viscosity, Black Holes, and Quantum Field Theory
• Lectures on hydrodynamic fluctuations in relativistic theories
• From AdS/CFT correspondence to hydrodynamics. II. Sound waves
• From Navier-Stokes To Einstein
• Wilsonian Approach to Fluid/Gravity Duality
• Towards the observation of Hawking radiation in Bose--Einstein condensates
• Integrating out geometry: Holographic Wilsonian RG and the membrane paradigm
• Acoustic geometry for general relativistic barotropic irrotational fluid flow
• Relativistic Acoustic Geometry
• Towards an effective action for relativistic dissipative hydrodynamics
• CFT dual of the AdS Dirichlet problem: Fluid/Gravity on cut-off surfaces
• Acoustic black holes for relativistic fluids
• Acoustic black holes from supercurrent tunneling
• Towards a general fluid/gravity correspondence
• Effective hydrodynamics of black D3-branes
• On Dumb Holes and their Gravity Duals
• Black Branes in a Box: Hydrodynamics, Stability, and Criticality

Cited by in corpus (15)

• Acoustic black holes in curved spacetime and emergence of analogue Minkowski metric
• Acoustic black hole in Schwarzschild spacetime: quasi-normal modes, analogous Hawking radiation and shadows
• The information loss problem: an analogue gravity perspective
• Analogue of the pole-skipping phenomenon in acoustic black holes
• AdS and dS black hole solutions in analogue gravity: The relativistic and non-relativistic cases
• On the geometry outside of acoustic black holes in $2+1$-dimensional spacetime
• Analogies between the Black Hole Interior and the Type II Weyl Semimetals
• Fermionic greybody factors in Schwarzschild acoustic black holes
• Measurement of the inner horizon in the analog of rotating BTZ black holes by an improved photon fluid
• Shadow and near-horizon characteristics of the acoustic charged black hole in curved spacetime
• Island of acoustic black hole in Schwarzschild spacetime
• Computational Complexity in Analogue Gravity
• Bosonic and Fermionic love number of static acoustic black hole
• Holographic superfluid sound modes with bulk acoustic black hole
• Classical limit for Dirac fermions with modified action in the presence of the black hole