On the space-time curvature experienced by quasiparticle excitations in the Painleve-Gullstrand effective geometry

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dc.creatorFischer, Uwe R.
dc.creatorVisser, Matt
dc.date2002-05-08
dc.date2003-02-03
dc.date.accessioned2026-07-07T02:45:22Z
dc.date.available2026-07-07T02:45:22Z
dc.descriptionWe consider quasiparticle propagation in constant-speed-of-sound (iso-tachic) and almost incompressible (iso-pycnal) hydrodynamic flows, using the technical machinery of general relativity to investigate the ``effective space-time geometry'' that is probed by the quasiparticles. This effective geometry, described for the quasiparticles of condensed matter systems by the Painleve-Gullstrand metric, generally exhibits curvature (in the sense of Riemann), and many features of quasiparticle propagation can be re-phrased in terms of null geodesics, Killing vectors, and Jacobi fields. As particular examples of hydrodynamic flow we consider shear flow, a constant-circulation vortex, flow past an impenetrable cylinder, and rigid rotation.
dc.description9 RevTex4 pages, 1 figure, minor modifications, to appear in Annals of Physics (N.Y.)
dc.identifierhttps://arxiv.org/abs/cond-mat/0205139
dc.identifierhttp://arxiv.org/abs/cond-mat/0205139
dc.identifierAnnals Phys. 304 (2003) 22-39
dc.identifierdoi:10.1016/S0003-4916(03)00011-3
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/19272
dc.subjectCondensed Matter
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleOn the space-time curvature experienced by quasiparticle excitations in the Painleve-Gullstrand effective geometry
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