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 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.

See the preprint here.

Yu-Chun Pynn
Rodrigo Panosso Macedo
Martin Breithaupt
Stefan Palenta
Reinhard Meinel
Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität, Max-Wien-Platz 1, 07743 Jena, Germany