Self-gravitating magnetised tori around black holes in general relativity

Abstract

We investigate stationary, self-gravitating, magnetised disks (or tori) around black holes. The models are obtained by numerically solving the coupled system of the Einstein equations and the equations of ideal general-relativistic magnetohydrodynamics. The mathematical formulation and numerical aspects of our approach are similar to those reported in previous works modeling stationary self-gravitating perfect-fluid tori, but the inclusion of magnetic fields represents a new ingredient. Following previous studies of purely hydrodynamical configurations, we construct our models assuming Keplerian rotation in the disks and both spinning and spinless black holes. We focus on the case of a toroidal distribution of the magnetic field and build a large set of models corresponding to a wide range of values of the magnetisation parameter, starting with weakly magnetised disks and ending at configurations in which the magnetic pressure dominates over the thermal one. In all our models, the magnetic field affects the equilibrium structure of the torus mainly due to the magnetic pressure. In particular, an increasing contribution of the magnetic field shifts the location of the maximum of the rest-mass density towards inner regions of the disk. The total mass of the system and the angular momentum are affected by the magnetic field in a complex way, that depends on the black hole spin and the location of the inner radius of the disk. The non-linear dynamical stability of the solutions presented in this paper will be reported elsewhere.

arXiv comment17 pages, 5 figures, 1 table

References in corpus (38)

• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• Gravitational Waves and Gamma-rays from a Binary Neutron Star Merger: GW170817 and GRB 170817A
• The Supernova -- Gamma-Ray Burst Connection
• Foundations of Black Hole Accretion Disk Theory
• Binary neutron-star mergers: a review of Einstein's richest laboratory
• A simple construction of initial data for multiple black holes
• Accurate evolutions of unequal-mass neutron-star binaries: properties of the torus and short GRB engines
• Collapse of a Rotating Supermassive Star to a Supermassive Black Hole: Fully Relativistic Simulations
• The runaway instability of thick discs around black holes. I. The constant angular momentum case
• Magnetized Tori around Kerr Black Holes: Analytic Solutions with a Toroidal Magnetic Field
• Binary Neutron Star Mergers and Short Gamma-Ray Bursts: Effects of Magnetic Field Orientation, Equation of State, and Mass Ratio
• Gravitational waves from the Papaloizou-Pringle instability in black hole-torus systems
• Stability of general-relativistic accretion disks
• Innermost stable circular orbits around relativistic rotating stars
• Dynamics of magnetized relativistic tori oscillating around black holes
• Black Holes Surrounded by Uniformly Rotating Rings
• The Evolution of Distorted Rotating Black Holes I: Methods and Tests
• The Polish doughnuts revisited I. The angular momentum distribution and equipressure surfaces
• Influence of self-gravity on the runaway instability of black hole-torus systems
• Collapse of a Rotating Supermassive Star to a Supermassive Black Hole: Analytic Determination of the Black Hole Mass and Spin
• Papaloizou-Pringle instability suppression by the magnetorotational instability in relativistic accretion discs
• An improved method for constructing models of self-gravitating tori around black holes
• Magnetised Polish doughnuts revisited
• Initial data for superposed rotating black holes
• Numerical relativity simulations of thick accretion disks around tilted Kerr black holes
• Geometrical inequalities bounding angular momentum and charges in General Relativity
• Von Zeipel's theorem for a magnetized circular flow around a compact object
• Negative Komar Mass of Single Objects in Regular, Asymptotically Flat Spacetimes
• General-relativistic rotation laws in rotating fluid bodies
• Self-gravitating axially symmetric disks in general-relativistic rotation
• On the dynamics of tilted black hole-torus systems
• Complete initial value spacetimes containing black holes in general relativity: Application to black hole-disk systems
• New closed analytical solutions for geometrically thick fluid tori around black holes: Numerical evolution and the onset of the magneto-rotational instability
• General-relativistic rotation: self-gravitating fluid tori in motion around black holes
• Rotating systems, universal features in dragging and anti-dragging effects, and bounds onto angular momentum
• Inequalities Between Size, Mass, Angular Momentum, and Charge for Axisymmetric Bodies and the Formation of Trapped Surfaces
• The Parametric Transition of Strange Matter Rings to a Black Hole
• Two mass conjectures on axially symmetric black hole--disk systems

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