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arXiv · 2508.01732

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

David Rumler
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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 $\epsilon$. It is found that for $\epsilon<1$ all realized dust particle orbits are stable and for $\epsilon=1$ all dust particles are in marginally stable states.

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David Rumler. 2025-08-03. Equatorial stability analysis of dust particle orbits within a charged rotating disc of dust. https://doi.org/10.1103/sg66-2zp1

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