Vortex analogue for the equatorial geometry of the Kerr black hole

@article{Visser2004VortexAF,
  title={Vortex analogue for the equatorial geometry of the Kerr black hole},
  author={Matt Visser and Silke E. Ch. Weinfurtner},
  journal={Classical and Quantum Gravity},
  year={2004},
  volume={22},
  pages={2493 - 2510}
}
The spacetime geometry on the equatorial slice through a Kerr black hole is formally equivalent to the geometry felt by phonons entrained in a rotating fluid vortex. We analyse this example of ‘analogue gravity’ in some detail. First, we find the most general acoustic geometry compatible with the fluid dynamic equations in a collapsing/expanding perfect fluid line vortex. Second, we demonstrate that there is a suitable choice of coordinates on the equatorial slice through a Kerr black hole that… 

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