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gr-qc2000★ 19 cited
Infinite hierarchies of exact solutions of the Einstein and Einstein-Maxwell equations for interacting waves and inhomogeneous cosmologies
G. A. Alekseev, J. B. Griffiths
For space-times with two spacelike isometries, we present infinite hierarchies of exact solutions of the Einstein and Einstein--Maxwell equations as represented by their Ernst pote…
gr-qc2000★ 16 cited
Gravitational Solitons and Monodromy Transform Approach to Solution of Integrable Reductions of Einstein Equations
G. A. Alekseev
In this paper the well known Belinskii and Zakharov soliton generating transformations of the solution space of vacuum Einstein equations with two-dimensional Abelian groups of iso…