Dynamical analogue spacetimes in non-relativistic flows
arXiv:2106.07618 · doi:10.1103/PhysRevD.106.025020
Abstract
Analogue gravity models describe linear fluctuations of fluids as a massless scalar field propagating on stationary acoustic spacetimes constructed from the background flow. In this paper, we establish that this paradigm generalizes to arbitrary order nonlinear perturbations propagating on dynamical analogue spacetimes. Our results hold for all inviscid, spherically symmetric and barotropic non-relativistic flows in the presence of an external conservative force. We demonstrate that such fluids always admit a dynamical description governed by a coupled pair of wave and continuity equations. We provide an iterative approach to solve these equations about any known stationary solution to all orders in perturbation. In the process, we reveal that there exists a dynamical acoustic spacetime on which fluctuations of the mass accretion rate propagate. The dynamical acoustic spacetime is shown to have a well defined causal structure and curvature. In addition, we find a classical fluctuation relation for the acoustic horizon of the spacetime that admit scenarios wherein the horizon can grow as well as recede, with the latter being a result with no known analogue in black holes. As an example, we numerically investigate the Bondi flow accreting solution subject to exponentially damped time dependent perturbations. We find that second and higher order classical perturbations possess an acoustic horizon that oscillates and changes to a new stable size at late times. In particular, the case of a receding acoustic horizon is realized through `low frequency' perturbations. We discuss our results in the context of more general analogue models and its potential implications on astrophysical accretion flows.
arXiv comment42 pages, 33 figures. arXiv admin note: text overlap with arXiv:2005.14114
References in corpus (51)
- Analogue Gravity
- Acoustic black holes: horizons, ergospheres, and Hawking radiation
- Fiber-optical analogue of the event horizon
- Dumb Holes and the Effects of High Frequencies on Black Hole Evaporation
- Sonic analog of gravitational black holes in Bose-Einstein condensates
- Observation of quantum Hawking radiation and its entanglement in an analogue black hole
- Measurement of stimulated Hawking emission in an analogue system
- Hawking Spectrum and High Frequency Dispersion
- Observation of self-amplifying Hawking radiation in an analog black hole laser
- Observation of thermal Hawking radiation at the Hawking temperature in an analogue black hole
- Realization of a sonic black hole analogue in a Bose-Einstein condensate
- Superfluid analogies of cosmological phenomena
- Sonic black holes in dilute Bose-Einstein condensates
- Relativistic Effects of Light in Moving Media with Extremely Low Group Velocity
- Analog gravity from Bose-Einstein condensates
- Observation of superradiance in a vortex flow
- Observation of Stimulated Hawking Radiation in Optics
- Black hole lasers
- On the Universality of the Hawking Effect
- Probing semiclassical analogue gravity in Bose--Einstein condensates with widely tunable interactions
- Hawking radiation in an electro-magnetic wave-guide?
- Stellar Dynamics and Stellar Phenomena Near A Massive Black Hole
- Observation of stationary spontaneous Hawking radiation and the time evolution of an analogue black hole
- Simulation of Panleve-Gullstrand black hole in thin 3He-A film
- Relativistic Acoustic Geometry
- Effective spacetime and Hawking radiation from moving domain wall in thin film of 3He-A
- Quasinormal mode oscillations in an analogue black hole experiment
- Acoustic propagation in fluids: an unexpected example of Lorentzian geometry
- A Cool Accretion Disk around the Galactic Centre Black Hole
- Backreaction in Acoustic Black Holes
- Backreaction in an analogue black hole experiment
- Black-Hole Accretion Disc as an Analogue Gravity Model
- Space-time geometry of quantum dielectrics
- Acoustic horizons in axially symmetric relativistic accretion
- The pattern of accretion flow onto Sgr A*
- Quantum backreaction in dilute Bose-Einstein condensates
- Back-reaction in canonical analogue black holes
- Behaviour of matter close to the event horizon
- Quantum toy model for black-hole back-reaction
- Acoustic geometry through perturbation of mass accretion rate - radial flow in static spacetimes
- Pseudo-Schwarzschild Spherical Accretion as a Classical Black Hole Analogue
- Black-hole horizon and metric singularity at the brane separating two sliding superfluids
- Model dependence of the multi-transonic behavior, stability properties and corresponding acoustic geometry for accretion onto a spinning black hole
- Perturbations on steady spherical accretion in Schwarzschild geometry
- Perturbation of mass accretion rate, associated acoustic geometry and stability analysis
- On Spin Dependence of Relativistic Acoustic Geometry
- Relativistic sonic geometry for isothermal accretion in the Schwarzschild metric
- Linear perturbations of low angular momentum accretion flow in the Kerr metric and the corresponding emergent gravity phenomena
- Acoustic geometry obtained through the perturbation of the Bernoulli's constant
- Relativistic sonic geometry for isothermal accretion in the Kerr metric
- Influence of the geometric configuration of accretion flow on the black hole spin dependence of relativistic acoustic geometry