Spherically symmetric perfect fluids in shear-free motion - The symmetry approach

被引：11
|
作者：
Stephani, H [1 ]
Wolf, T [1 ]
机构：
[1] UNIV LONDON QUEEN MARY & WESTFIELD COLL, SCH MATH SCI, LONDON E1 4NS, ENGLAND
来源：
CLASSICAL AND QUANTUM GRAVITY | 1996年 / 13卷 / 05期
关键词：
D O I：
10.1088/0264-9381/13/5/035
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
In general relativity, the motion of expanding shear-free perfect fluids is governed by the ordinary differential equation y '' = F(x) y(2), where F is an arbitrary function from which the equation of state can be computed. A complete symmetry analysis of this differential equation is given; its solutions are classified according to this scheme, and in particular the relation to Wyman's Painleve analysis is clarified.
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页码：1261 / 1271
页数：11
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