Warped space-time for phonons moving in a perfect nonrelativistic fluid

Abstract

We construct a kinematical analogue of superluminal travel in the ``warped'' space-times curved by gravitation, in the form of ``super-phononic'' travel in the effective space-times of perfect nonrelativistic fluids. These warp-field space-times are most easily generated by considering a solid object that is placed as an obstruction in an otherwise uniform flow. No violation of any condition on the positivity of energy is necessary, because the effective curved space-times for the phonons are ruled by the Euler and continuity equations, and not by the Einstein field equations.

7 pages, 1 figure. Version as published; references updated

References in corpus (5)

• Gravity wave analogs of black holes
• Faster-than-c signals, special relativity, and causality
• Riemannian geometry of irrotational vortex acoustics
• Warp Drive With Zero Expansion
• On the space-time curvature experienced by quasiparticle excitations in the Painleve-Gullstrand effective geometry

Cited by in corpus (10)

• Analogue Gravity
• Quantum simulation of cosmic inflation in two-component Bose-Einstein condensates
• Fundamental limitations on "warp drive" spacetimes
• Causal structure of acoustic spacetimes
• Heuristic approach to the Schwarzschild geometry
• Non-Riemannian geometry of vortex acoustics
• Quasiparticle universes in Bose-Einstein condensates
• Chronology Protection Implementation in Analogue Gravity
• Simulating superluminal propagation of Dirac particles using trapped ions
• A Closer Look at Natário's Zero-Expansion Warp Drive