Spherically symmetric spacetimes and kinematic self-similarity

被引:25
作者
Benoit, PM [1 ]
Coley, AA [1 ]
机构
[1] Dalhousie Univ, Dept Math Stat & Comp Sci, Halifax, NS B3H 3J5, Canada
关键词
D O I
10.1088/0264-9381/15/8/018
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The perfect-fluid Einstein field equations in the case of spherical symmetry reduce to an autonomous system of ordinary differential equations when a spacetime is assumed to admit a kinematic self-similarity (of either the second or zeroth kind). The qualitative properties of solutions of this system of equations, and in particular their asymptotic behaviour, are investigated. The geodesic subcase and a subcase containing the static models are examined in detail. In particular, exact solutions are obtained and the asymptotic behaviour of the solutions is fully studied in these important subcases. Exact solutions admitting a homothetic vector are found to play an important role in describing the asymptotic behaviour of the kinematic self-similar models.
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收藏
页码:2397 / 2414
页数:18
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