Lax pair, conserved currents, and hidden symmetry transformation for the Ernst equation

DOI10.1016/0375-9601(94)90724-2zbMath0879.58035OpenAlexW4253113697MaRDI QIDQ5896735

C. J. Papachristou, B. Kent Harrison

Publication date: 1994

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0375-9601(94)90724-2

zbMATH Keywords

inverse scatteringhidden symmetryself-dual Yang-Mills equationmatrix Ernst equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Yang-Mills and other gauge theories in quantum field theory (81T13) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) PDEs in connection with relativity and gravitational theory (35Q75)

Cites Work

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• Solutions of Einstein's equations: techniques and results. Proceedings of the International Seminar on Exact Solutions of Einstein's Equations Held in Retzbach, Germany, November 14-18, 1983
• Integrable and solvable systems, and relations among them
• Lax pair, hidden symmetries, and infinite sequences of conserved currents for self-dual Yang-Mills fields