Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-09-22
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
14 pages
Scientific paper
Acoustic analogs of static, spherically symmetric massive traversable Lorentzian wormholes are constructed as a {\em formal} extension of acoustic black holes. The method is straightforward but the idea is interesting in itself. The analysis leads to a new acoustic invariant for the massless counterpart of the Einstein-Rosen model of an elementary particle. It is shown that there is a marked, in a sense even counterintuitive, physical difference between the acoustic analogs of black holes and wormholes. The analogy allows us to also portray the nature of curvature singularity in the acoustic language. It is demonstrated that the light ray trajectories in an optical medium are the same as the sound trajectories in its acoustic analog. The implications of these analogies in the laboratory set up and in the different context of phantom energy accretion have been speculated.
Cai Rong-Gen
Nandi Kamal Kanti
Zhang Yuan-Zhong
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