Spatially self-similar locally rotationally symmetric perfect fluid models

Details Spatially self-similar locally rotationally symmetric perfect fluid models Spatially self-similar locally rotationally symmetric perfect fluid models

1995-11-24

arxiv.org/abs/gr-qc/9511064v1

Class.Quant.Grav. 13 (1996) 1601-1622

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, pictures available at ftp://vanosf.physto.se/pub/figures/ssslrs.tar.gz

Scientific paper

10.1088/0264-9381/13/6/024

Einstein's field equations for spatially self-similar locally rotationally symmetric perfect fluid models are investigated. The field equations are rewritten as a first order system of autonomous ordinary differential equations. Dimensionless variables are chosen in such a way that the number of equations in the coupled system of differential equations is reduced as far as possible. The system is subsequently analyzed qualitatively for some of the models. The nature of the singularities occurring in the models is discussed.

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