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

Abstract

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

10 pages, 4 figures (typos corrected)

References in corpus (5)

• Electromagnetic Properties of Kerr-Anti-de Sitter Black Holes
• Black rings with a small electric charge: gyromagnetic ratios and algebraic alignment
• On the black hole limit of rotating discs and rings
• On the black hole limit of rotating discs of charged dust
• Post-Newtonian expansion of a rigidly rotating disc of dust with a constant specific charge