Analogue gravitational field from nonlinear fluid dynamics
- 5 January 2022
- journal article
- research article
- Published by IOP Publishing in Classical and Quantum Gravity
- Vol. 39 (7)
- https://doi.org/10.1088/1361-6382/ac4828
Abstract
The dynamics of sound in a fluid is intrinsically nonlinear. We derive the consequences of this fact for the analogue gravitational field experienced by sound waves, by first describing generally how the nonlinearity of the equation for phase fluctuations back-reacts on the definition of the background providing the effective space-time metric. Subsequently, we use the analytical tool of Riemann invariants in one-dimensional motion to derive source terms of the effective gravitational field stemming from nonlinearity. Finally, we show that the consequences of nonlinearity we derive can be observed with Bose–Einstein condensates in the ultracold gas laboratory.Funding Information
- National Research Foundation of Korea (2017R1A2A2A05001422)
- National Research Foundation of Korea (2020R1A2C2008103)
This publication has 45 references indexed in Scilit:
- Beyond analog gravity: the case of exceptional dynamicsClassical and Quantum Gravity, 2011
- Black hole lasers in Bose–Einstein condensatesNew Journal of Physics, 2010
- Observation of shock waves in a large Bose-Einstein condensatePhysical Review A, 2009
- Black-hole radiation in Bose-Einstein condensatesPhysical Review A, 2009
- Cosmological particle production in emergent rainbow spacetimesClassical and Quantum Gravity, 2009
- Acoustic black holes in a two-dimensional “photon fluid”Physical Review A, 2008
- Methods for Detecting Acceleration Radiation in a Bose-Einstein CondensatePhysical Review Letters, 2008
- “Cosmological” quasiparticle production in harmonically trapped superfluid gasesPhysical Review A, 2004
- Gibbons-Hawking Effect in the Sonic de Sitter Space-Time of an Expanding Bose-Einstein-Condensed GasPhysical Review Letters, 2003
- Gravity wave analogues of black holesPhysical Review D, 2002