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

Journal Article · · Phys. Rev., D; (United States)

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), Vol. 22:12
Country of Publication:
United States
Language:
English