Sound Wave in Vortex with Sink

Details Sound Wave in Vortex with Sink Sound Wave in Vortex with Sink

2003-10-22

arxiv.org/abs/gr-qc/0310105v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, typos corrected, parts of section 3 modified

Scientific paper

Using Komar's definition, we give expressions for the mass and angular momentum of a rotating acoustic black hole. We show that the mass and angular momentum so defined, obey the equilibrium version of the first law of Black Hole thermodynamics. We also show that when a phonon passes by a vortex with a sink, its trajectory is bent. The angle of bending of the sound wave to leading order is quadratic in $A/cb$ and $B/cb$, where $b$ is the impact parameter and $A$ and $B$ are the parameters in the velocity of the fluid flow. The time delay in the propagation of sound wave which to first order depends only on $B/c^2$ and is independent of $A$.

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