Post-Newtonian expansion of a rigidly rotating disc of dust with a constant specific charge

Abstract

We present an algorithm for obtaining the post-Newtonian expansion of the asymptotically flat solution to the Einstein-Maxwell equations describing a rigidly rotating disc of dust with a constant specific charge. Explicit analytic expressions are calculated up to the eighth order. The results are used for a physical discussion of the extreme relativistic limiting cases. We identify strong evidence for a transition to an extreme Kerr-Newman black hole.

18 pages, 9 figures; v2: corrected version, to appear in CQG

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• Multipole moments of a charged rotating disc of dust in general relativity
• Equatorial stability analysis of dust particle orbits within a charged rotating disc of dust