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

J 2023

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

STUPKA, A. A., Olena KOPTĚVA, M. A. SALIUK and Iryna BORMOTOVA

Basic information

Original name

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

Authors

STUPKA, A. A., Olena KOPTĚVA (804 Ukraine, belonging to the institution), M. A. SALIUK and Iryna BORMOTOVA (804 Ukraine, belonging to the institution)

Edition

European Physical Journal C, New York (USA), SPRINGER, 2023, 1434-6044

Other information

Language

English

Type of outcome

Článek v odborném periodiku

Field of Study

10308 Astronomy

Country of publisher

United States of America

Confidentiality degree

není předmětem státního či obchodního tajemství

References:

URL

RIV identification code

RIV/47813059:19630/23:A0000311

Organization unit

Institute of physics in Opava

DOI

http://dx.doi.org/10.1140/epjc/s10052-023-11737-y

UT WoS

001031049200009

Keywords in English

globular-clusters;radial-velocities;mass

Abstract

V originále

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.

Citovat

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. 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.

@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.

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