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Phys. Rev. D 72, 084012 (2005) [9 pages]

Acoustic analogues of black hole singularities

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Mariano Cadoni*
Dipartimento di Fisica, Università di Cagliari, and INFN, Sezione di Cagliari, Cittadella Universitaria 09042 Monserrato, Italy

Salvatore Mignemi
Dipartimento di Matematica, Università di Cagliari, viale Merello 92, 09123 Cagliari, Italy, and INFN, Sezione di Cagliari

Received 19 September 2005; published 14 October 2005

We search for acoustic analogues of a spherical symmetric black hole with a pointlike source. We show that the gravitational system has a dynamical counterpart in the constrained, steady motion of a fluid with a planar source. The equations governing the dynamics of the gravitational system can be exactly mapped in those governing the motion of the fluid. The different meaning that singularities and sources have in fluid dynamics and in general relativity is also discussed. Whereas in the latter a pointlike source is always associated with a (curvature) singularity in the former the presence of sources does not necessarily imply divergences of the fields.

© 2005 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.72.084012
DOI:
10.1103/PhysRevD.72.084012
PACS:
04.70.−s, 47.40.Ki

*Electronic address: mariano.cadoni@ca.infn.it

Electronic address: smignemi@vaxca1.unica.it