Perfect fluid space-times admitting a 3-dimensional conformal group acting on null orbits
Abstract
Space-times admitting a 3-dimensional Lie group of conformal motions C3 acting on null orbits are studied. Coordinate expressions for the metric and the conformal Killing vectors (CKV) are then provided (irrespectively of the matter content) and all possible perfect fluid solutions are found, although none of them verifies the weak and dominant energy conditions over the whole space-time manifold.
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