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Painleve solutions in general relativity

A close study of all known solutions in general relativity which can be written in terms of Painleve transcendental functions reveals that they can all be derived from a solution found by Leaute and Marcilhacy in 1984. In the course of this analysis a new solution of the Einstein-Maxwell equations was found, generalising some well known metrics. Also the complex transformations relating cylindrically symmetric and stationary axisymmetric solutions were fully exploited to derive previously unidentified metrics.