Two mass conjectures on axially symmetric black hole--disk systems

Abstract

We analyze stationary self-gravitating disks around spinning black holes that satisfy the recently found general-relativistic Keplerian rotation law. There is a numerical evidence that the angular velocity, circumferential radius and angular momenta yield a bound onto the asymptotic mass of the system. This bound is proven analytically in the special case of massless disks of dust in the Kerr spacetime.

arXiv comment8 pages, 5 figures

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Cited by in corpus (5)

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• Self-gravitating perfect-fluid tori around black holes: Bifurcations, ergoregions, and geometrical properties
• Methods for relativistic self-gravitating fluids: From binary neutron stars to black hole-disks and magnetized rotating neutron stars
• Toroidal magnetic fields in self-gravitating disks around black holes
• Stationary massive disks around black holes: realistic equation of state and bifurcation