Nonlinear shear-free radiative collapse

被引：39
|
作者：
Misthry, S. S. [1 ]
Maharaj, S. D. [1 ]
Leach, P. G. L. [1 ]
机构：
[1] Univ KwaZulu Natal, Sch Math Sci, Astrophys & Cosmol Res Unit, ZA-4000 Durban, South Africa
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2008年 / 31卷 / 03期
关键词：
astrophysics; Einstein equations; radiating stars;
D O I：
10.1002/mma.917
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study realistic models of relativistic radiating stars undergoing gravitational collapse which have vanishing Weyl tensor components. Previous investigations are generalized by retaining the inherent nonlinearity at the boundary. We transform the boundary condition to an Abel equation of the first kind. A variety of nonlinear solutions is generated all of which can be written explicitly. Several classes of infinite solutions exist. Copyright (C) 2007 John Wiley & Sons, Ltd.
引用
收藏
页码：363 / 374
页数：12
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