A VIRIAL IDENTITY APPLIED TO RELATIVISTIC STELLAR MODELS

被引:47
作者
BONAZZOLA, S
GOURGOULHON, E
机构
[1] Département d'Astrophysique Relativiste et de Cosmologie (UPR 176 du CNRS), Observatoire de Paris - Section de Meudon
关键词
D O I
10.1088/0264-9381/11/7/014
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
A two-dimensional integral identity is derived for a genera) asymptotically flat four-dimensional spacetime, providing a generalization of the 'virial' identity obtained by Bonazzola for the stationary axisymmetric case. It is applied to show that some spatial component of the stress-energy tensor must be positive in some (if not all) points of a static stellar model. This identity has also proved to be useful for checking numerical solutions of Einstein's equation describing rotating neutron stars.
引用
收藏
页码:1775 / 1784
页数:10
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