Acoustic geometry for general relativistic barotropic irrotational fluid flow

Details Acoustic geometry for general relativistic barotropic irrotational fluid flow Acoustic geometry for general relativistic barotropic irrotational fluid flow

2010-01-08

arxiv.org/abs/1001.1310v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

V1: 23 pages, zero figures; V2: now 24 pages, some clarifications, 2 references added. This version accepted for publication i

Scientific paper

"Acoustic spacetimes", in which techniques of differential geometry are used to investigate sound propagation in moving fluids, have attracted considerable attention over the last few decades. Most of the models currently considered in the literature are based on non-relativistic barotropic irrotational fluids, defined in a flat Newtonian background. The extension, first to special relativistic barotropic fluid flow, and then to general relativistic barotropic fluid flow in an arbitrary background, is less straightforward than it might at first appear. In this article we provide a pedagogical and simple derivation of the general relativistic "acoustic spacetime" in an arbitrary (d+1) dimensional curved-space background.

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