Black hole in a uniform magnetic field

Details Black hole in a uniform magnetic field Black hole in a uniform magnetic field

Sep 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974phrvd..10.1680w&link_type=abstract

Physical Review D, vol. 10, Issue 6, pp. 1680-1685

Physics

198

Scientific paper

Using the fact that a Killing vector in a vacuum spacetime serves as a vector potential for a Maxwell test field, we derive the solution for the electromagnetic field occurring when a stationary, axisymmetric black hole is placed in an originally uniform magnetic field aligned along the symmetry axis of the black hole. It is shown that a black hole in a magnetic field will selectively accrete charges until its charge becomes Q=2Bb0J, where B0 is the strength of the magnetic field and J is the angular momentum of the black hole. As a by-product of the analysis given here, we prove that the gyromagnetic ratio of a slightly charged, stationary, axisymmetric black hole (not assumed to be Kerr) must have the value g=2.

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