Analogue gravitational field from nonlinear fluid dynamics

@article{Datta2021AnalogueGF,
  title={Analogue gravitational field from nonlinear fluid dynamics},
  author={Satadal Datta and Uwe R. Fischer},
  journal={Classical and Quantum Gravity},
  year={2021},
  volume={39}
}
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… 

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