Regular double Riemann–Hilbert problems and double Kac–Moody algebraic structures for two-dimensional reduced gravity

DOI10.1063/1.528628zbMath0726.35097OpenAlexW1977490901MaRDI QIDQ3350027

Zai-Zhe Zhong

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1063/1.528628

Mathematics Subject Classification ID

Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) General relativity (83C99) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (8)

Double complex Bäcklund transformations of the axisymmetric stationary and cylindrical symmetric Einstein vacuum field and a Geroch group structure ⋮ Multiple Lax pair for the double Ernst equation ⋮ Double structures and double symmetries for the Einstein-Maxwell-Dilaton-Axion theory ⋮ Double structures and soliton double solution family for Einstein-Maxwell-dilaton theory ⋮ Extended double Riemann–Hilbert problem and multiple representations of the infinite-dimensional symmetric group for the stationary axisymmetric vacuum field equations ⋮ Double structures and multiple symmetry groups for the reduced 4-dimensional string background equations ⋮ DOUBLE STRUCTURES AND DOUBLE SYMMETRIES FOR THE EINSTEIN–KALB–RAMOND THEORY ⋮ The two NUT-like solutions of Ernst equation

Cites Work

• Solitary wave solutions to the Einstein equations
• Generation of new solutions of the stationary axisymmetric Einstein equations by a double complex function method
• Kac–Moody algebra from infinitesimal Riemann–Hilbert transform
• A Method for Generating New Solutions of Einstein's Equation. II

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