Black Holes Surrounded by Uniformly Rotating Rings

Details Black Holes Surrounded by Uniformly Rotating Rings Black Holes Surrounded by Uniformly Rotating Rings

2005-05-12

arxiv.org/abs/gr-qc/0505060v4

Phys.Rev. D72 (2005) 024019

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, 14 figures, revtex, v4: minor changes, Eq. (17) corrected, corresponds to version in PRD

Scientific paper

10.1103/PhysRevD.72.024019

Highly accurate numerical solutions to the problem of Black Holes surrounded by uniformly rotating rings in axially symmetric, stationary spacetimes are presented. The numerical methods developed to handle the problem are discussed in some detail. Related Newtonian problems are described and numerical results provided, which show that configurations can reach an inner mass-shedding limit as the mass of the central object increases. Exemplary results for the full relativistic problem for rings of constant density are given and the deformation of the event horizon due to the presence of the ring is demonstrated. Finally, we provide an example of a system for which the angular momentum of the central Black Hole divided by the square of its mass exceeds one.

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