Equatorial stability analysis of dust particle orbits within a charged rotating disc of dust
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866918304166182912 |
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| author | Rumler, David |
| author_facet | Rumler, David |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_01732 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Equatorial stability analysis of dust particle orbits within a charged rotating disc of dust Rumler, David General Relativity and Quantum Cosmology 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. |
| title | Equatorial stability analysis of dust particle orbits within a charged rotating disc of dust |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2508.01732 |