On Beltrami states near black hole event horizon
arXiv:2007.00687 · doi:10.1063/5.0010050
Abstract
In this article, we study Beltrami equilibria for plasmas in near the horizon of a spinning black hole, and develop a framework for constructing the magnetic field profile in the near horizon limit for Clebsch flows in the single-fluid approximation. We find that the horizon profile for the magnetic field is shown to satisfy a system of first-order coupled ODEs dependent on a boundary condition for the magnetic field. For states in which the generalized vorticity vanishes (the generalized `superconducting' plasma state), the horizon profile becomes independent of the boundary condition, and depend only on the thermal properties of the plasma. Our analysis makes use of the full form for the time-independent Ampere's law in the 3+1 formalism, generalizing earlier conclusions for the case of vanishing vorticity, namely the complete magnetic field expulsion near the equator of an axisymmetric black horizon assuming that the thermal properties of the plasma are symmetric about the equatorial plane. For the general case, we find and discuss additional conditions required for the expulsion of magnetic fields at given points on the black hole horizon. We perform a length scale analysis which indicates the emergence of two distinct length scales characterizing the magnetic field variation and strength of the Beltrami term, respectively.
arXiv comment11 pages
References in corpus (21)
- Advection-Dominated Accretion and the Black Hole Event Horizon
- Advection-Dominated Accretion and Black Hole Event Horizons
- First-Principles Plasma Simulations of Black-Hole Jet Launching
- General relativistic MHD simulations of monopole magnetospheres of black holes
- Magnetospheres of Black Hole Systems in Force-Free Plasma
- "Meissner effect" and Blandford-Znajek mechanism in conductive black hole magnetospheres
- Magneto-Fluid Coupling - Eruptive Events in the Solar Corona
- A connection between plasma conditions near black hole event horizons and outflow properties
- Acceleration of Plasma Flows Due to Reverse Dynamo Mechanism
- Modeling astrophysical outflows via the unified Dynamo-Reverse Dynamo mechanism
- Generating vorticity and magnetic fields in plasmas in general relativity: spacetime curvature drive
- Relaxed States in Relativistic Multi-Fluid Plasmas
- Observable Emission Features of Black Hole GRMHD Jets on Event Horizon Scales
- Magnetofluid Dynamics in curved spacetime
- Novel mechanism for vorticity generation in black-hole accretion disks
- Beltrami state in black-hole accretion disk: A magnetofluid approach
- The Meissner Effect for axially symmetric charged black holes
- The Meissner effect for weakly isolated horizons
- Magnetized Black Holes in an External Gravitational Field
- Black hole in a superconducting plasma
- Magnetic reconnection and Blandford-Znajek process around rotating black holes
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