Stability of rotating, charged fluids: Generalization of the Høiland conditions in Newtonian nonconductive case

authored by
Kris Schroven, Vladimír Karas, Jiří Horák, Audrey Trova, Eva Hackmann
Abstract

We study the conditions for stability of electrically charged, nonconductive perfect fluid tori with respect to linear perturbations. To this end, we employ Lagrangian perturbation formalism, and we assume a system where the fluid orbits a central body. Gravitational field of the latter is described in the Newtonian framework. We first formulate the criteria valid for a general, nonaxisymmetric situation, and then we concentrate on the axisymmetric model in more detail. In the latter case, we generalize the Høiland criterion of stability to a nonvanishing electric charge and classify special examples. Toroidal structures with constant angular momentum distribution are found to be linearly stable. Subsequently, like in the uncharged case, rotating charged fluids are found to be unstable with respect to nonaxisymmetric perturbations.

Organisation(s)
QuantumFrontiers
External Organisation(s)
Czech Academy of Sciences (CAS)
University of Bremen
Center of Applied Space Technology and Microgravity (ZARM)
Type
Article
Journal
Physical Review D
Volume
109
ISSN
2470-0010
Publication date
26.02.2024
Publication status
Published
Peer reviewed
Yes
ASJC Scopus subject areas
Nuclear and High Energy Physics
Electronic version(s)
https://doi.org/10.48550/arXiv.2402.03911 (Access: Open)
https://doi.org/10.1103/PhysRevD.109.043047 (Access: Closed)