The necessity of non-Riemannian acoustic spacetime in the fluids with vorticity

Details The necessity of non-Riemannian acoustic spacetime in the fluids with vorticity The necessity of non-Riemannian acoustic spacetime in the fluids with vorticity

2005-02-25

arxiv.org/abs/gr-qc/0502106v1

Phys.Lett. A346 (2005) 327-329

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex file

Scientific paper

10.1016/j.physleta.2005.07.023

The necessity of a newly proposed (PRD 70 (2004) 64004) non-Riemannian acoustic spacetime structure called acoustic torsion of sound wave equation in fluids with vorticity are discussed. It is shown that this structure, although not always necessary is present in fluids with vorticity even when the perturbation is rotational. This can be done by solving the Bergliaffa et al (Physica D (2004)) gauge invariant equations for sound, superposed to a general background flow, needs to support a non-Riemannian acoustic geometry in effective spacetime. Bergliaffa et al have previously shown that a Riemannian structure cannot be associated to this gauge invariant general system.

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