Spatially self-similar locally rotationally symmetric perfect uid models
نویسندگان
چکیده
Einstein's eld equations for spatially self-similar locally rotationally symmetric perfect uid models are investigated. The eld equations are rewritten as a rst order system of autonomous ordinary di erential equations. Dimensionless variables are chosen in such a way that the number of equations in the coupled system of di erential 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. PACS numbers: 0420, 9530S, 9880H. Short title: Spatially self-similar perfect uid models e-mail: [email protected] ySupported by the Swedish Natural Science Research Council ze-mail: [email protected]
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Spatially self-similar locally rotationally symmetric perfect fluid models
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 ...
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