论文标题
病毒定理，用于从第二相关力矩的牛仔裤方程获得的一群星云
Virial theorem for a cloud of stars obtained from Jeans equations with the second correlation moments
论文作者
论文摘要
考虑到平衡中的自一致的引力场，具有非零的第二相关力矩，建立了恒星云中小声学振荡的流体动力模型。假定动量通量密度张量应包括各向异性压张量的类似物以及纵向和横向重力场强度的第二个相关力矩。重力场强度第二相关力矩的非相关时间方程是使用一阶后纽顿后近似来得出的。在同质和各向同性的星云中发现了一个纵向和两个声学振荡的横向分支。横向振荡速度为零的要求为云的稳定性提供了边界条件。获得了恒星球形云的临界半径，这与病毒定理完全一致。
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.
