Stationary electromagnetic fields around black holes. III. General solutions and the fields of current loops near the Reissner-Nordstr{\"o}m black hole

Article

Stationary electromagnetic fields around black holes. III. General solutions and the fields of current loops near the Reissner-Nordstr{\"o}m black hole

Bičák, J.; Dvořák, L.

Phys. Rev. D 22(0), 2933-2940 (1980)

Abstract

The stationary multipole solutions of the Einstein-Maxwell equations representing coupled electromagnetic and gravitational perturbations of the extreme Reissner-Nordström black hole are simple rational functions of the radial coordinate. These solutions are used to construct the axially symmetric field of a current loop in the equatorial plane and of a small current loop on the polar axis. The magnetic lines of force are calculated numerically and exhibited graphically. The field representing a general Reissner-Nordström black hole in an asymptotically uniform magnetic field is also given, and its relation to the exact solutions of Ernst describing Kerr-Newman black holes in Melvin's magnetic universe is discussed.

Institute authors

Bičák, Jiří

BibTeX

@article{UTF287,
  author        = {Bičák, J. and Dvořák, L.},
  title         = {{Stationary electromagnetic fields around black holes. III. General solutions and the fields of current loops near the Reissner-Nordstr\{\textbackslash{}"o\}m black hole}},
  journal       = {Phys. Rev. D},
  volume        = {22},
  number        = {0},
  pages         = {2933-2940},
  year          = {1980},
  doi           = {DOI:10.1103/PhysRevD.22.2933},
  url           = {http://link.aps.org/abstract/PRD/v22/p2933},
}