A one-parameter family of cylindrically symmetric perfect fluid cosmologies |
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Authors: | W Davidson |
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Institution: | (1) Mathematics and Statistics Department, University of Otago, Dunedin, New Zealand;(2) Present address: 80 West Close, Fernhurst, GU27 3JT Haslemere, Surrey, England |
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Abstract: | Non-stationary cylindrically symmetric one-parameter solutions to Einstein's equations are given for a perfect fluid. There is a time singularity (t=0) at which the pressurep and density are equal to + throughout the radial coordinate range 0 r < , but the solutions are well behaved fort > 0,p and decreasing steadily to zero asr increases through the range 0r<, or as t increases through the range 0<t<. The motion is irrotational with shear, expansion and acceleration. The family of solutions, of Petrov type I, are generally spatially inhomogeneous, of class B(ii), having two spacelike Killing vectors which are mutually orthogonal and hypersurface orthogonal, associated with an orthogonally transitive groupG
2. The particular members for which there are equations of statep=/3 andp= are specially considered. |
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