Circular geodesic orbits in the equatorial plane of a charged rotating disc of dust

Abstract

Equatorial circular geodesic orbits of neutral test particles in the exterior spacetime of a charged rotating disc of dust are analyzed in dependence of its specific charge and a relativity parameter. The charged rotating disc of dust is an axisymmetric, stationary solution of the Einstein-Maxwell equations in terms of a post-Newtonian expansion. In particular, photon, marginally bound and marginally stable orbits are discussed. It turns out that general formulae in closed form for angular velocity, specific energy and specific angular momentum of the test particles can be derived, which hold for any (exterior) asymptotically flat, axisymmetric, stationary and reflection symmetric (electro-)vacuum spacetime. Furthermore, circular motion in the exterior spacetime of the charged rotating disc of dust is qualitatively very similar to that around a Kerr-Newman black hole for sufficiently large radii, but differs strongly in the respective closer vicinity.

arXiv comment12 pages, 8 figures; v2: final version, to appear in Phys. Rev. D

References in corpus (6)

• General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions
• Marginally stable circular orbits in stationary axisymmetric spacetimes
• On the black hole limit of rotating discs of charged dust
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Cited by in corpus (2)

• Imaging the destruction of a rotating regular black hole
• Equatorial stability analysis of dust particle orbits within a charged rotating disc of dust