Analog Schwarzschild-like geometry in fluids with external pressure

Abstract

We study acoustic geometry in fluids with external pressure. In particular, we examine the conditions under which the acoustic metric mimics a Schwarzschild-like metric. We demonstrate that it is possible to mimic a Schwarzschild-like geometry in a consistent way only in the framework of relativistic acoustic geometry.

20 pages, comments added, a few issues clarified, conclusions expanded, typos corrected, results unchanged, to appear in Phys. Rev. D

References in corpus (2)

• Unified dark energy thermodynamics: varying w and the -1-crossing
• Analogue models for Schwarzschild and Reissner-Nordström spacetimes