Self-gravitating gas spheres in a box and relativistic clusters: Relation between dynamical and thermodynamical stability

被引：8
|
作者：
Bisnovatyi-Kogan, Gennady S.
Merafina, Marco
机构：
[1] Space Res Inst IKI, Moscow 117997, Russia
[2] Joint Inst Nucl Res, Dubna, Russia
[3] Univ Roma La Sapienza, Dept Phys, I-00185 Rome, Italy
来源：
ASTROPHYSICAL JOURNAL | 2006年 / 653卷 / 02期
关键词：
dense matter; galaxies : star clusters; hydrodynamics; instabilities; relativity;
D O I：
10.1086/508794
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We derive a variational principle for the dynamical stability of a cluster as a gas sphere in a box. Newtonian clusters are always dynamically stable, and for relativistic clusters, the relation between dynamical and thermodynamical instabilities is analyzed. The boundaries between dynamically and thermodynamically stable and unstable models are found numerically for relativistic stellar systems with different cutoff parameters. A criterion based on the binding energy curve is used for determination of the boundary of dynamical stability.
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页码：1445 / 1453
页数：9
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