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… 
View on IOP Publishing
[PDF] Semantic Reader

References

SHOWING 1-10 OF 71 REFERENCES

Fluid-dynamical analogue of nonlinear gravitational wave memory

We consider the propagation of nonlinear sound waves in an irrotational and barotropic perfect liquid at rest. Starting from the Riemann wave equation of nonlinear acoustics, we derive wave equations…

Inherent nonlinearity of fluid motion and acoustic gravitational wave memory

We consider the propagation of nonlinear sound waves in a perfect fluid at rest. By employing the Riemann wave equation of nonlinear acoustics in one spatial dimension, it is shown that waves…

Exact theory of the (Einstein) gravitational field in an arbitrary background space-time

The Lagrangian based theory of the gravitational field and its sources at the arbitrary background space-time is developed. The equations of motion and the energy-momentum tensor of the gravitational…

Hidden geometries in nonlinear theories: a novel aspect of analogue gravity

We show that nonlinear dynamics of a scalar field φ may be described as a modification of the spacetime geometry. Thus, the self-interaction is interpreted as a coupling of the scalar field with an…

Emergent geometries and nonlinear-wave dynamics in photon fluids

This analysis offers an alternative insight into the problem of shock formation and provides a demonstration of an analogue gravity model that goes beyond the kinematic level.

Beyond analog gravity: the case of exceptional dynamics

We show that it is possible to go beyond the propagation aspects usually contemplated in the analog models of gravity. Until now, the emergence of a metric appears in the description of excitations…

Geometric scalar theory of gravity

The present article introduces a new scalar theory of gravity based on the Einstein’s assumption that gravitation is an expression of the geometrical structure of the spacetime. In the geometric…

Scattering of Co-Current Surface Waves on an Analogue Black Hole.

The measured scattering amplitudes are compatible with the predictions of the hydrodynamical theory, where the kinematical description in terms of the effective metric is exact.

Analogue gravity from Bose-Einstein condensates

We analyse prospects for the use of Bose–Einstein condensates as condensedmatter systems suitable for generating a generic ‘effective metric’, and for mimicking kinematic aspects of general…

Gravity from self-interaction in a curved background

The full Einstein action is derived, by consistent self-coupling requirements, from the linear graviton action in an a priori arbitrary background geometry: flat space no longer plays a preferred…
...