Magnetised Polish doughnuts revisited

Abstract

We discuss a procedure to build new sequences of magnetised, equilibrium tori around Kerr black holes which combines two approaches previously considered in the literature. For simplicity we assume that the test-fluid approximation holds, and hence we neglect the self-gravity of the fluid. The models are built assuming a particular form of the angular momentum distribution from which the location and morphology of equipotential surfaces can be computed. This ansatz includes, in particular, the constant angular momentum case originally employed in the construction of thick tori - or Polish doughnuts - and it has already been used to build equilibrium sequences of purely hydrodynamical models. We discuss the properties of the new models and their dependence on the initial parameters. These new sequences can be used as initial data for magnetohydrodynamical evolutions in general relativity.

9 pages, 6 figures. Accepted for publication in Astronomy & Astrophysics July 12, 2017

References in corpus (5)

• Magnetized Tori around Kerr Black Holes: Analytic Solutions with a Toroidal Magnetic Field
• Dynamics of magnetized relativistic tori oscillating around black holes
• Local Stability of Strongly Magnetized Black Hole Tori
• On the Decay of Strong Magnetization in Global Disc Simulations with Toroidal Fields
• Von Zeipel's theorem for a magnetized circular flow around a compact object

Cited by in corpus (2)

• Non-linear evolutions of magnetised thick discs around black holes: dependence on the initial data
• Self-gravitating magnetised tori around black holes in general relativity