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VOL. 15 | 2014 A Recursion Operator for Solutions of Einstein Field Equations
Tsukasa Takeuchi

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

Abstract

The (1,1)-tensor field on symplectic manifold that satisfies some integrability conditions is called a recursion operator. It is known the recursion operator is a characterization for integrable systems, and gives constants of motion for integrable systems. We construct recursion operators for the geodesic flows of some solutions of Einstein equation like Schwarzschild, Reissner-Nordström, Kerr and Kerr-Newman metrics.

Information

Published: 1 January 2014
First available in Project Euclid: 13 July 2015

zbMATH: 1321.83014
MathSciNet: MR3287762

Digital Object Identifier: 10.7546/giq-15-2014-249-258

Rights: Copyright © 2014 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences

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