Warped space-time for phonons moving in a perfect nonrelativistic fluid
classification
🌀 gr-qc
cond-mathep-th
keywords
space-timescurvedeffectiveequationsnonrelativisticperfectphononstravel
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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.
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