Virial theorem for a cloud of stars obtained from the Jeans equations with second correlation ...

@article{77171,
   author = {Stupka, A. A. and Koptěva, Olena and Saliuk, M. A. and Bormotova, Iryna},
   article_location = {New York (USA)},
   article_number = {7},
   doi = {http://dx.doi.org/10.1140/epjc/s10052-023-11737-y},
   keywords = {globular-clusters;radial-velocities;mass},
   language = {eng},
   issn = {1434-6044},
   journal = {European Physical Journal C},
   title = {Virial theorem for a cloud of stars obtained from the Jeans equations with second correlation moments},
   url = {https://link.springer.com/article/10.1140/epjc/s10052-023-11737-y},
   volume = {83},
   year = {2023}
}

TY  - JOUR
ID  - 77171
AU  - Stupka, A. A. - Koptěva, Olena - Saliuk, M. A. - Bormotova, Iryna
PY  - 2023
TI  - Virial theorem for a cloud of stars obtained from the Jeans equations with second correlation moments
JF  - European Physical Journal C
VL  - 83
IS  - 7
SP  - "598-1"-"598-8"
EP  - "598-1"-"598-8"
PB  - SPRINGER
SN  - 14346044
KW  - globular-clusters;radial-velocities;mass
UR  - https://link.springer.com/article/10.1140/epjc/s10052-023-11737-y
N2  - 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.
ER  - 

STUPKA, A. A., Olena KOPTĚVA, M. A. SALIUK and Iryna BORMOTOVA. Virial theorem for a cloud of stars obtained from the Jeans equations with second correlation moments. \textit{European Physical Journal C}. New York (USA): SPRINGER, 2023, vol.~83, No~7, p.~''598-1''-''598-8'', 8 pp. ISSN~1434-6044. Available from: https://dx.doi.org/10.1140/epjc/s10052-023-11737-y.