On the complete integrability of the stationary, axially symmetric Einstein equations
- 1 May 1979
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 20 (5) , 871-877
- https://doi.org/10.1063/1.524134
Abstract
A linear eigenvalue problem in the spirit of Lax is constructed for the nonlinear differential equations describing stationary, axially symmetric Einstein spaces. In suitable variables these equations yield a generalization of the well‐known sine‐Gordon equation. The similarity of the system to the nonlinear σ model is pointed out.Keywords
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