Computer Science
Scientific paper
Sep 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cqgra...6.1231w&link_type=abstract
Classical and Quantum Gravity (ISSN 0264-9381), vol. 6, Sept. 1989, p. 1231-1241. Research supported by FNRS.
Computer Science
7
Differential Equations, Relativity, Transcendental Functions, Einstein Equations, Maxwell Equation
Scientific paper
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 Einstein-Maxwell 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.
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