Compact anisotropic spheres with prescribed energy density

被引：105

作者：

Chaisi, M

Maharaj, SD ^{[1
]}

机构：

[1] Univ KwaZulu Natal, Sch Math Sci, Astrophys & Cosmol Res Unit, ZA-4041 Durban, South Africa

[2] Natl Univ Lesotho, Dept Math & Comp Sci, Roma 180, Lesotho

来源：

GENERAL RELATIVITY AND GRAVITATION | 2005年 / 37卷 / 07期

基金：

新加坡国家研究基金会;

关键词：

anisotropic relativistic stars; compact spheres;

D O I：

10.1007/s10714-005-0102-3

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

New exact interior solutions to the Einstein field equations for anisotropic spheres are found. We utilise a procedure that necessitates a choice for the energy density and the radial pressure. This class contains the constant density model of Maharaj and Maartens (Gen. Rel. Grav. 21, 899-905 (1989)), and the variable density model of Gokhroo and Mehra (Gen. Rel. Grav. 26, 75-84 (1994)), as special cases. These anisotropic spheres match smoothly to the Schwarzschild exterior and gravitational potentials are well behaved in the interior. A graphical analysis of the matter variables is performed which points to a physically reasonable matter distribution.

引用

页码：1177 / 1189

页数：13

共 23 条

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