Relativistic Acoustic Geometry

Abstract

Sound wave propagation in a relativistic perfect fluid with a non-homogeneous isentropic flow is studied in terms of acoustic geometry. The sound wave equation turns out to be equivalent to the equation of motion for a massless scalar field propagating in a curved space-time geometry. The geometry is described by the acoustic metric tensor that depends locally on the equation of state and the four-velocity of the fluid. For a relativistic supersonic flow in curved space-time the ergosphere and acoustic horizon may be defined in a way analogous the non-relativistic case. A general-relativistic expression for the acoustic analog of surface gravity has been found.

14 pages, LaTex

Cited by in corpus (75)

• Analogue Gravity
• Acoustic geometry for general relativistic barotropic irrotational fluid flow
• Cosmological tachyon condensation
• Black-Hole Accretion Disc as an Analogue Gravity Model
• Acoustic horizons in axially symmetric relativistic accretion
• Superresonance effect from a rotating acoustic black hole and Lorentz symmetry breaking
• Analogue Aharonov-Bohm effect in a Lorentz-violating background
• Supersonic Velocities in Noncommutative Acoustic Black Holes
• Thermodynamics of k-essence
• Acoustic black holes from supercurrent tunneling
• Note on the thermodynamics and the speed of sound of a scalar field
• Analogue Hawking Radiation from Astrophysical Black Hole Accretion
• The entropy of the noncommutative acoustic black hole based on generalized uncertainty principle
• Superradiant scattering of dispersive fields
• Analogue Aharonov-Bohm effect in neo-Newtonian theory
• Noncommutative analogue Aharonov-Bohm effect and superresonance
• Transport theory for cold relativistic superfluids from an analogue model of gravity
• Non-Riemannian geometry of vortex acoustics
• Rotating black hole solutions in relativistic analogue gravity
• Analog Systems for Gravity Duals
• Holographic Interpretation of Acoustic Black Holes
• Emergent gravitational dynamics in relativistic Bose--Einstein condensate
• The generalized uncertainty principle effect in acoustic black holes
• Quantum-corrected rotating acoustic black holes in Lorentz-violating background
• Analogue of the pole-skipping phenomenon in acoustic black holes
• On the geometry outside of acoustic black holes in $2+1$-dimensional spacetime
• Quasi-normal acoustic oscillations in the Michel flow
• Acoustic geometry through perturbation of mass accretion rate - radial flow in static spacetimes
• A relativistic acoustic metric for planar black holes
• Pseudo-Schwarzschild Spherical Accretion as a Classical Black Hole Analogue
• Perturbations on steady spherical accretion in Schwarzschild geometry
• Thin-Shell Wormholes in Neo-Newtonian Theory
• FRW universe in the laboratory
• Recent developments in mathematical aspects of relativistic fluids
• On Dumb Holes and their Gravity Duals
• Perturbation of mass accretion rate, associated acoustic geometry and stability analysis
• On Spin Dependence of Relativistic Acoustic Geometry
• Painlevé-Gullstrand synchronizations in spherical symmetry
• Black Hole spin dependence of general relativistic multi-transonic accretion close to the horizon
• Relativistic sonic geometry for isothermal accretion in the Schwarzschild metric
• Analogue black holes in relativistic BECs: Mimicking Killing and universal horizons
• Hawking temperature and phonon emission in acoustic holes
• Linear perturbations of low angular momentum accretion flow in the Kerr metric and the corresponding emergent gravity phenomena
• Petrov classification of analogue spacetimes
• Acoustic geometry obtained through the perturbation of the Bernoulli's constant
• Aharonov-Bohm effect for a fermion field in a planar black hole "spacetime"
• Acoustic causality in relativistic shells
• Relativistic sonic geometry for isothermal accretion in the Kerr metric
• Hawking radiation and stability of the canonical acoustic black holes
• Vorticity in analogue gravity
• Quantum nonlinear effects in the number-conserving analogue gravity of Bose-Einstein condensates
• Resonant frequencies of a massless scalar field in the canonical acoustic black hole spacetime
• Implications of nonlinearity for spherically symmetric accretion
• Stochastic motion in an expanding noncommutative fluid
• Causality and Stability from Acoustic Geometry
• Nonlinear variations in axisymmetric accretion
• Effective sound speed in relativistic accretion discs around Schwarzschild black holes
• Hawking radiation from acoustic black holes in relativistic heavy ion collisions
• Trapped surfaces in a hadronic fluid
• Dissipative processes at the acoustic horizon
• Hawking radiation from acoustic black holes in hydrodynamic flow of electrons
• Analogue surface gravity near the QCD chiral phase transition
• Cosmological particle creation in a hadronic fluid
• Analog Schwarzschild-like geometry in fluids with external pressure
• Dynamical analogue spacetimes in non-relativistic flows
• Submarine paradox softened
• A note on analogue semi-classical gravity in (1+1) dimensions
• Analog dual to a 2+1-dimensional holographic superconductor
• Binary superfluids: Low-energy properties and dissipative processes from spontaneous emission of massive phonons
• Analog rotating black holes in a magnetohydrodynamic inflow
• The K-essence flow seen from the preferred frame $S_V$. A scalar field theory with Landau superfluid structure
• A field theory approach to cosmological density perturbations
• Acoustic Analogue for Quantum Field Theory with a Source term
• Planar Black holes and Entanglement Entropy in Analog Gravity Models
• Shear viscosity to entropy density ratio: A powerful tool for gravity theories and strongly coupled fluids