Painleve solutions in general relativity
Abstract
A close study of all presently 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 EinsteinMaxwell equations was found, generalizing some well known metrics. Also the complex transformations relating cylindrically symmetric and stationary axisymmetric solutions were fully exploited to derive previously unidentified metrics.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 September 1989
 DOI:
 10.1088/02649381/6/9/008
 Bibcode:
 1989CQGra...6.1231W
 Keywords:

 Differential Equations;
 Relativity;
 Transcendental Functions;
 Einstein Equations;
 Maxwell Equation;
 Astrophysics