Newtonian and General Relativistic models of spherical shells

被引：10

作者：

Vogt, D. ^{[1
]}

Letelier, P. S. ^{[1
]}

机构：

[1] Univ Estadual Campinas, Dept Matemat Aplicada IMECC, BR-13083970 Campinas, SP, Brazil

来源：

MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY | 2010年 / 402卷 / 02期

基金：

巴西圣保罗研究基金会;

关键词：

gravitation; BLACK-HOLE;

D O I：

10.1111/j.1365-2966.2009.15967.x

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

A family of spherical shells with varying thickness is derived by using a simple Newtonian potential-density pair. Then, a particular isotropic form of a metric in spherical coordinates is used to construct a General Relativistic version of the Newtonian family of shells. The matter of these relativistic shells presents equal azimuthal and polar pressures, while the radial pressure is a constant times the tangential pressure. We also make a first study of stability of both the Newtonian and relativistic families of shells.

引用

页码：1313 / 1316

页数：4