Stationary electromagnetic fields around black holes. III. General solutions and the fields of current loops near the Reissner-Nordstroem black hole

Journal Article · Mon Dec 15 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.22.2933· OSTI ID:6790389

Bicak, J; Dvorak, L

The stationary multipole solutions of the Einstein-Maxwell equations representing coupled electromagnetic and gravitational perturbations of the extreme Reissner-Nordstroem 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-Nordstroem 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.

• Research Organization: Faculty of Mathematics and Physics, Charles University, 121 16 Prague 2, Czechoslovakia
• OSTI ID: 6790389
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 22:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BLACK HOLES
EINSTEIN-MAXWELL EQUATIONS
ELECTROMAGNETIC FIELDS
EQUATIONS
FIELD EQUATIONS
GAUGE INVARIANCE
GRAVITATIONAL FIELDS
HAMILTONIANS
INVARIANCE PRINCIPLES
MATHEMATICAL OPERATORS
PARITY
PARTICLE PROPERTIES
PERTURBATION THEORY
QUANTUM OPERATORS
UNIVERSE