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Black holes in magnetic universes

Journal Article · · J. Math. Phys. (N.Y.); (United States)
DOI:https://doi.org/10.1063/1.525130· OSTI ID:6144533

The magnetized black hole solutions discovered by Ernst are studied. It is shown that no static magnetic-universe Kerr--Newman black holes exist if either a, the Kerr angular momentum parameter, or e, the electric charge parameter, is nonzero. Robinson's identity is used to prove that the Schwarzschild--Melvin black hole solution is the unique static, axisymmetric black hole solution of the sourceless Einstein--Maxwell equations which asymptotically resembles Melvin's magnetic universe. This may be viewed as a generalization of Israel's theorem, in which one extra assumption (axisymmetry) is required, but the boundary conditions at infinity are somewhat relaxed.

Research Organization:
Physics Department, Yale University, New Haven, Connecticut 06520
OSTI ID:
6144533
Journal Information:
J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 22:8; ISSN JMAPA
Country of Publication:
United States
Language:
English