Black hole in a superconducting plasma

Abstract

The generalized vortical formalism provides an electrodynamic description for superconducting states---in the generalized vortical formalism, a superconducting state may be defined by the vanishing of an appropriate generalized vorticity and characterized by zero generalized helicity for incompressible fluids. In this article, we investigate these states for compressible plasmas in black hole spacetime geometries using the curved spacetime generalization of the grand generalized vortical formalism. If the magnetic field is axisymmetric and the thermodynamic properties are symmetric about the equatorial plane, the resulting states are characterized by a vanishing skin depth and a complete expulsion of the magnetic field at the equator of the black hole horizon. Moreover, if the thermodynamic properties of the plasma are uniform at the horizon, we find that the magnetic field is completely expelled from the horizon, and the plasma behaves as a perfect superconductor near the horizon. This result is independent of the spin of a black hole, holding even for a (nonrotating) Schwarzschild black hole, and demonstrates that the geometry near black hole horizons can have a significant effect on the electrodynamics of surrounding plasmas.

arXiv comment5 pages

References in corpus (9)

• "Meissner effect" and Blandford-Znajek mechanism in conductive black hole magnetospheres
• Superconducting p-branes and Extremal Black Holes
• Near-horizon description of extremal magnetised stationary black holes and Meissner effect
• The Black Hole Meissner Effect and Blandford-Znajek Jets
• Generating vorticity and magnetic fields in plasmas in general relativity: spacetime curvature drive
• Magnetofluid Dynamics in curved spacetime
• The Meissner Effect for axially symmetric charged black holes
• The Meissner effect for weakly isolated horizons
• Magnetized Black Holes in an External Gravitational Field

Cited by in corpus (6)

• On Beltrami states near black hole event horizon
• Diamagnetic field states in cosmological plasmas
• On the quadruple Beltrami fields in thermally relativistic electron-positron-ion plasma
• Relativistic hydrodynamic model with the average reverse gamma factor evolution for the degenerate plasmas: high-density ion-acoustic solitons
• Relaxation of a Two Electron-Temperature Relativistic Hot Electron-Positron-Ion Plasma
• Anisotropic pressure effects in hydrodynamic description of waves propagating parallel to the magnetic field in relativistically hot plasmas