Statistical Entropy and Superradiance in 2+1 Dimensional Acoustic Black Holes

Details Statistical Entropy and Superradiance in 2+1 Dimensional Acoustic Black Holes Statistical Entropy and Superradiance in 2+1 Dimensional Acoustic Black Holes

2005-04-26

arxiv.org/abs/gr-qc/0504127v2

J.Korean Phys.Soc. 49 (2006) 15-20

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, 1 figure. Change in authors. The improved version to be published in J. Kor. Phys. Soc

Scientific paper

We study ``draining bathtub'' as an acoustic analogue of a three-dimensional rotating black hole. Rotating fluid near the sonic horizon necessarily gives rise to the superradiant modes, which are partially responsible for the thermodynamic quantities in this rotating vortex-like hole. Using the recently suggested thin-layer method overcoming some difficulties from the well-known brick-wall method, we explicitly calculate the free energy of the system by treating the superradiance carefully and obtain the desirable entropy formula.

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