Gyromagnetic factor of rotating disks of electrically charged dust in general relativity

We calculated the dimensionless gyromagnetic ratio (“g-factor”) of self-gravitating, uniformly rotating disks of dust with a constant specific charge ε. These disk solutions to the Einstein-Maxwell equations depend on ε and a “relativity parameter” γ (0<γ≤1) up to a scaling parameter. Accordingly, the g-factor is a function g=g(γ,ε). The Newtonian limit is characterized by γ≪1, whereas γ→1 leads to a black-hole limit. The g-factor, for all ε, approaches the values g=1 as γ→0 and g=2 as γ→1.

Note:

10 pages, 4 figures (typos corrected)

04.40.-b
04.40.Nr
rotation
Einstein-Maxwell equation: solution
general relativity
relativity theory
magnetic moment
black hole
scaling
charge: electric

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