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

U. R. Fischer et al 2003 Europhys. Lett. 62 1-7   doi: 10.1209/epl/i2003-00103-6  Help

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U. R. Fischer1,2 and M. Visser3
1 Helsinki University of Technology, Low Temperature Laboratory P. O. Box 2200, FIN-02015 HUT, Finland
2 Leopold-Franzens-Universität Innsbruck, Institut für Theoretische Physik Technikerstrasse 25, A-6020 Innsbruck, Austria
3 School of Mathematical and Computing Sciences, Victoria University of Wellington P. O. Box 600, Wellington, New Zealand

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 curved 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.

PACS number: 02.40.Ky

Print publication: Issue 1 (April 2003)
Received 25 November 2002, accepted for publication 31 January 2003

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