Stability aspects of relativistic thin magnetized disks
arXiv:1703.10883 · doi:10.1103/PhysRevD.95.124040
Abstract
We adapt the well known "displace, cut and reflect" method to construct exact solutions of the Einstein-Maxwell equations corresponding to infinitesimally thin disks of matter endowed with dipole magnetic fields, which are entirely supported by surface polar currents on the disk. Our starting point is the Gutsunaev-Manko axisymmetric solution describing massive magnetic dipoles in General Relativity, from which we obtain a continuous three-parameter family of asymptotically flat static magnetized disks with finite mass and energy. For strong magnetic fields, the disk surface density profile resembles some well known self-gravitating ring-like structures. We show that many of these solutions can be indeed stable and, hence, they could be in principle useful for the study of the abundant astrophysical situations involving disks of matter and magnetic fields.
9 pages, 7 figures; Accepted for publication in Physical Review D
References in corpus (7)
- Free motion around black holes with discs or rings: between integrability and chaos - II
- Free motion around black holes with discs or rings: between integrability and chaos - I
- Free motion around black holes with discs or rings: between integrability and chaos -- IV
- Charged perfect fluid disks as sources of Taub-NUT-type spacetimes
- Dynamics of magnetic shells and information loss problem
- Monopole and dipole layers in curved spacetimes: formalism and examples
- Vertical stability of circular orbits in relativistic razor-thin disks