Spatially self-similar spherically symmetric perfect-fluid models

Details Spatially self-similar spherically symmetric perfect-fluid models Spatially self-similar spherically symmetric perfect-fluid models

1998-11-19

arxiv.org/abs/gr-qc/9811064v1

Class.Quant.Grav. 15 (1998) 167

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

21 pages, 6 eps-figures

Scientific paper

10.1088/0264-9381/15/1/012

Einstein's field equations for spatially self-similar spherically symmetric perfect-fluid models are investigated. The field equations are rewritten as a first-order system of autonomous differential equations. Dimensionless variables are chosen in such a way that the number of equations in the coupled system is reduced as far as possible and so that the reduced phase space becomes compact and regular. The system is subsequently analysed qualitatively with the theory of dynamical systems.

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