Spatially self-similar spherically symmetric perfect-fluid models

Document identifier:
Access full text here:10.1088/0264-9381/15/1/012
Keyword: Natural Sciences, Physical Sciences, Other Physics Topics, Naturvetenskap, Fysik, Annan fysik
Publication year: 1998

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


Martin Goliath

Stockholms Universitet
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Ulf S. Nilsson

Stockholms Universitet
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Claes Uggla

Luleå tekniska universitet
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