Virial theorem for a cloud of stars obtained from the Jeans equations with second correlation moments
- NázevTitle
- Virial theorem for a cloud of stars obtained from the Jeans equations with second correlation momentsVirial theorem for a cloud of stars obtained from the Jeans equations with second correlation moments
- Druh výsledkuResult type
- Článek v časopiseJournal article
- AutořiAuthors
- A.A. Stupka, E.M. Kopteva, M.A. Saliuk, I. Bormotova
- Klíčová slovaKeywords
- Hydrodynamic Model, Acoustic Oscillations, Gravitational Field, Anisotropic Pressure, Jeans equations
- DOIDOI
- 10.1140/epjc/s10052-023-11737-y
- Časopis / citaceJournal / citation
- The European Physical Journal C 83(7), 598 (2023) · ISSN 1434-6044
- RokYear
- 2023
- JazykLanguage
- eng
- ZáznamyRecords
- ProjektProject
- Institucionální podpora na rozvoj výzkumné org.Institucionální podpora na rozvoj výzkumné org.
- Plný text (open access)Full text (open access)
- https://link.springer.com/content/pdf/10.1140/epjc/s10052-023-11737-y.pdf
- Citace ke staženíDownload citation
- TXT · BibTeX
AbstraktAbstract
A hydrodynamic model for small acoustic oscillations in a cloud of stars is built, taking into account the self-consistent gravitational field in equilibrium with a non-zero second correlation moment. It is assumed that the momentum flux density tensor should include the analog of the anisotropic pressure tensor and the second correlation moment of both longitudinal and transverse gravitational field strength. The non-relativistic temporal equation for the second correlation moment of the gravitational field strength is derived from the Einstein equations using the first-order post-Newtonian approximation. One longitudinal and two transverse branches of acoustic oscillations are found in a homogeneous and isotropic star cloud. The requirement for the velocity of transverse oscillations to be zero provides the boundary condition for the stability of the cloud. The critical radius of the spherical cloud of stars is obtained, which is precisely consistent with the virial theorem.
A hydrodynamic model for small acoustic oscillations in a cloud of stars is built, taking into account the self-consistent gravitational field in equilibrium with a non-zero second correlation moment. It is assumed that the momentum flux density tensor should include the analog of the anisotropic pressure tensor and the second correlation moment of both longitudinal and transverse gravitational field strength. The non-relativistic temporal equation for the second correlation moment of the gravitational field strength is derived from the Einstein equations using the first-order post-Newtonian approximation. One longitudinal and two transverse branches of acoustic oscillations are found in a homogeneous and isotropic star cloud. The requirement for the velocity of transverse oscillations to be zero provides the boundary condition for the stability of the cloud. The critical radius of the spherical cloud of stars is obtained, which is precisely consistent with the virial theorem.