Stationary Bianchi type II perfect fluid models

Details Stationary Bianchi type II perfect fluid models Stationary Bianchi type II perfect fluid models

1997-02-20

arxiv.org/abs/gr-qc/9702039v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, 1 figure LaTeX. To appear in JMP

Scientific paper

10.1063/1.531998

Einstein's field equations for stationary Bianchi type II models with a perfect fluid source are investigated. The field equations are rewritten as a system of autonomous first order differential equations. Dimensionless variables are subsequently introduced for which the reduced phase space is compact. The system is then studied qualitatively using the theory of dynamical systems. It is shown that the locally rotationally symmetric models are not asymptotically self-similar for small values of the independent , tovariable. A new exact solution is also given.

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