The application of monodromy preserving deformation to the gravitational field equation

DOI10.3792/pjaa.57.210zbMath0523.35090OpenAlexW2020189067MaRDI QIDQ584631

Kimio Ueno

Publication date: 1981

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.57.210

zbMATH Keywords

inverse scattering theoryFuchsian equationvacuum Einstein equationBelinsky-Zakharov ansatzglobal monodromygravitational field equationmonodromy preserving deformationstationary axisymmetric gravitational fields

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Partial differential equations of mathematical physics and other areas of application (35Q99) Geometric theory, characteristics, transformations in context of PDEs (35A30) Exact solutions to problems in general relativity and gravitational theory (83C15)

Cites Work

• Holonomic quantum fields. II: The Riemann-Hilbert problem
• Deformation of linear ordinary differential equations. IV
• Unnamed Item

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