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Equatorial stability analysis of dust particle orbits within a charged rotating disc of dust

David Rumler*

  • *Contact author: david.rumler@uni-jena.de

Phys. Rev. D 112, 124084 – Published 29 December, 2025

DOI: https://doi.org/10.1103/sg66-2zp1

Abstract

Stability of circular orbits of the dust particles within a charged rotating disc of dust with respect to perturbations in the equatorial plane is analyzed. Within Einstein-Maxwell theory, the charged rotating disc of dust is an axisymmetric, stationary solution given in terms of a post-Newtonian expansion. The disc solution is characterized by a rigid rotation around the axis of symmetry and a constant specific charge ε. It is found that for ε<1 all realized dust particle orbits are stable and for ε=1 all dust particles are in marginally stable states.

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References (21)

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