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

TL;DR

This paper develops a new general-relativistic rotation law for self-gravitating disks around spinning black holes, enabling detailed modeling of black hole-torus systems in astrophysical phenomena.

Contribution

It introduces a novel Keplerian rotation law for self-gravitating disks around spinning black holes, extending previous laws and including the first numerical integration of such tori.

Findings

First numerical integration of self-gravitating Keplerian tori around spinning black holes.

New general-relativistic rotation law applicable to black hole-torus systems.

Potential applications in modeling neutron star mergers and active galactic nuclei.

Abstract

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.