General-relativistic rotation: self-gravitating fluid tori in motion around black holes

We obtain from the first principles a general-relativistic Keplerian rotation law for self-gravitating disks around spinning black holes. This is an extension of a former rotation law that was designed mainly for toroids around spin-less black holes. We integrate numerically axial stationary Einstei...

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Bibliographic Details
Published in:arXiv.org 2018-05
Main Authors: Karkowski, Janusz, Kulczycki, Wojciech, Mach, Patryk, Malec, Edward, Odrzywolek, Andrzej, Pirog, Michal
Format: Article
Language:English
Subjects:
Active galactic nuclei
Astronomical models
Black holes
Einstein equations
First principles
Gravitation
Neutron stars
Neutrons
Relativism
Relativistic effects
Rotating disks
Rotating fluids
Rotation
Toruses
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Summary:We obtain from the first principles a general-relativistic Keplerian rotation law for self-gravitating disks around spinning black holes. This is an extension of a former rotation law that was designed mainly for toroids around spin-less black holes. We integrate numerically axial stationary Einstein equations with self-gravitating disks around spinless or spinning black holes; that includes the first ever integration of the Keplerian selfgravitating tori. This construction can be used for the description of tight black hole-torus systems produced during coalescences of two neutron stars or modelling of compact active galactic nuclei.
ISSN:2331-8422
DOI:10.48550/arxiv.1712.05673