Stationary electromagnetic fields around black holes. I - General solutions and the fields of some special sources near a Schwarzschild black hole

Article

Stationary electromagnetic fields around black holes. I - General solutions and the fields of some special sources near a Schwarzschild black hole

Bičák, J.; Dvorak, L.

Czech. J. Phys. 27(0), 127-147 (1977)

Abstract

In the framework of the Newman-Penrose formalism the electromagnetic field of a general stationary source occurring in the vicinity of a Schwarzschild black hole is obtained in the test-field approximation. The field is expressed in terms of hypergeometric functions (radial parts) and spin-s spherical harmonics (angular parts) both outside and inside the radius at which the source is, located. As examples, the fields of point charges, charged rings, current loops and magnetic dipoles (generally located in non-axisymmetric positions) are calculated.

Keywords

BLACK HOLES (ASTRONOMY), ELECTROMAGNETIC FIELDS, HYPERGEOMETRIC FUNCTIONS, SPHERICAL HARMONICS, ELECTRIC CHARGE, FIELD THEORY (PHYSICS), MAGNETIC DIPOLES, POINT SOURCES, RELATIVITY, RING CURRENTS, SCHWARZSCHILD METRIC

Institute authors

Bičák, Jiří

BibTeX

@article{UTF289,
  author        = {Bičák, J. and Dvorak, L.},
  title         = {{Stationary electromagnetic fields around black holes. I - General solutions and the fields of some special sources near a Schwarzschild black hole}},
  journal       = {Czech. J. Phys.},
  volume        = {27},
  number        = {0},
  pages         = {127-147},
  year          = {1977},
  doi           = {DOI:10.1007/BF01587004},
  url           = {http://www.springerlink.com/content/t656n26g3g883666/},
}