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

页码：363 / 374

页数：12

共 7 条

[1] Relativistic shear-free fluids with symmetry
S. Moopanar
S. D. Maharaj
Journal of Engineering Mathematics, 2013, 82 : 125 - 131
[2] Relativistic shear-free fluids with symmetry
Moopanar, S.
Maharaj, S. D.
JOURNAL OF ENGINEERING MATHEMATICS, 2013, 82 (01) : 125 - 131
[3] Collapse of a charged radiating star with shear
Maharaj, SD
Govender, M
PRAMANA-JOURNAL OF PHYSICS, 2000, 54 (05): : 715 - 727
[4] Collapse of a charged radiating star with shear
S D Maharaj
M Govender
Pramana, 2000, 54 : 715 - 727
[5] The influence of an equation-of-state during radiative collapse
Govender, M.
Bogadi, R. S.
Maharaj, S. D.
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2017, 26 (07):
[6] FREE FALL COLLAPSE IN MANEFF' SCALED FIELD
Constantin, D. R.
ROMANIAN ASTRONOMICAL JOURNAL, 2014, 24 (01): : 115 - 117
[7] Effect of viscosity and shear flow on the nonlinear two fluid interfacial structures
Banerjee, Rahul
Mandal, Labakanta
Khan, M.
Gupta, M. R.
PHYSICS OF PLASMAS, 2012, 19 (12)

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