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 densityμ are equal to +∞ throughout the radial coordinate range 0 ≤r 0,p andμ decreasing steadily to zero asr increases through the range 0≤r<∞, 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=μ/3 andp=μ are specially considered.
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