Other
Scientific paper
Dec 1996
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..54.7506n&link_type=abstract
Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 54, Issue 12, 15 December 1996, pp.7506-7512
Other
3
Black Holes, Magnetohydrodynamics And Plasmas
Scientific paper
We study the general features of the time asymptotics of the axisymmetric dynamo occurring in an accretion disk around a rotating black hole. The model was mathematically formulated by Khanna and Camenzind in the framework of the 3+1 split of the Kerr metric. We have carried a mathematical analysis of the structure of any field satisfying the induction equation and the boundary conditions of the model mentioned above. It turns out that if we split both magnetic flux and current into components symmetric and antisymmetric with respect to the equator, asymptotically in time the symmetric part of one of them has the same order of magnitude as the antisymmetric part of the other for appropriate norms. Therefore one should expect for dipolelike field lines to deviate in opposite senses in both hemispheres, whereas quadrupolelike lines do it in the same direction. This fact excludes a large number of classical topologies.
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