Rayleigh and Solberg criteria reversal near black holes: the optical geometry explanation

Details Rayleigh and Solberg criteria reversal near black holes: the optical geometry explanation Rayleigh and Solberg criteria reversal near black holes: the optical geometry explanation

2004-11-26

arxiv.org/abs/astro-ph/0411718v1

Astronomy and Astrophysics

Astrophysics

9 pages

Scientific paper

The familiar Newtonian version of the Rayleigh criterion demands that for dynamical stability the specific angular momentum should increase with the increasing circumferential radius of circular trajectories of matter. However, sufficiently close to a black hole the Rayleigh criterion reverses: in stable fluids, the angular momentum must decrease with the increasing circumferential radius. The geometrical reason for this reversal is that the space is so very strongly warped that it turns inside-out.

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