Abstract
The framework of Lie–Bäcklund (or generalized) symmetries is used to give a unifying view of some of the known symmetries of Einstein’s field equations for the vacuum or perfect fluid case (with a μ=p or a μ+3p=0 equation of state). These symmetries occur if space-time admits one or two Killing vectors (orthogonal or parallel, respectively, to the four-velocity in the perfect fluid case).
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