Timelike self-similar spherically symmetric perfect-fluid models

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

1998-11-19

arxiv.org/abs/gr-qc/9811065v1

Class.Quant.Grav.15:2841,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 6 eps-figures

Scientific paper

10.1088/0264-9381/15/9/028

Einstein's field equations for timelike 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 using the theory of dynamical systems.

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