Extended double Riemann–Hilbert problem and multiple representations of the infinite-dimensional symmetric group for the stationary axisymmetric vacuum field equations

DOI10.1063/1.532016zbMath0879.35119OpenAlexW2076873286MaRDI QIDQ4345166

Zai-Zhe Zhong, Ya-Jun Gao, Yuan Xing Gui

Publication date: 29 January 1998

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.532016

zbMATH Keywords

Riemann-Hilbert problemssymmetry structuresHauser-Ernst equationsVirasoro groups

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Invariance and symmetry properties for PDEs on manifolds (58J70) PDEs in connection with relativity and gravitational theory (35Q75) Riemann-Hilbert problems in context of PDEs (35Q15)

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Cites Work

• Linear double universal Grassmann manifold method for the stationary axisymmetric vacuum gravitational field equations
• Regular double Riemann–Hilbert problems and double Kac–Moody algebraic structures for two-dimensional reduced gravity
• Generation of new solutions of the stationary axisymmetric Einstein equations by a double complex function method
• KAC-MOODY AND VIRASORO ALGEBRAS IN RELATION TO QUANTUM PHYSICS
• Bäcklund transformations in the Hauser–Ernst formalism for stationary axisymmetric spacetimes
• The Riemann–Hilbert problem approach to a representation of the Virasoro group II
• A Method for Generating New Solutions of Einstein's Equation. II
• Eine rotationssymmetrische Lösung in der allgemeinen Relativitätstheorie

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