Details
| Original language | English |
|---|---|
| Article number | 043047 |
| Journal | Physical Review D |
| Volume | 109 |
| Issue number | 4 |
| Publication status | Published - 26 Feb 2024 |
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.
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Nuclear and High Energy Physics
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In: Physical Review D, Vol. 109, No. 4, 043047, 26.02.2024.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Stability of rotating, charged fluids: Generalization of the Høiland conditions in Newtonian nonconductive case
AU - Schroven, Kris
AU - Karas, Vladimír
AU - Horák, Jiří
AU - Trova, Audrey
AU - Hackmann, Eva
N1 - Funding Information: We wish to acknowledge the continued support from the Czech Science Foundation EXPRO program (VK and JH, Ref. No. 21-06825X) and the CTA-CZ research infrastructure of the Czech Ministry of Education, Youth and Sports (Ref. No. LM2023047). A. T. and E. H. acknowledge the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) funded under the Project No. 510727404. Moreover, E. H. acknowledges the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy—EXC-2123 QuantumFrontiers—390837967. We further thank Shokoufe Faraji, Jiří Kovář and Petr Slaný for inspiring discussions.
PY - 2024/2/26
Y1 - 2024/2/26
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=85186397560&partnerID=8YFLogxK
U2 - 10.48550/arXiv.2402.03911
DO - 10.48550/arXiv.2402.03911
M3 - Article
AN - SCOPUS:85186397560
VL - 109
JO - Physical Review D
JF - Physical Review D
SN - 2470-0010
IS - 4
M1 - 043047
ER -