Linear deformation problems for the Ernst equation

DOI10.1063/1.525480zbMath0489.53035OpenAlexW1988628487MaRDI QIDQ3951201

R. K. Dodd, Hedley C. Morris

Publication date: 1982

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

Full work available at URL: https://doi.org/10.1063/1.525480

zbMATH Keywords

Ernst equationBäcklund transformationsvacuum Einstein's equationslinear deformation problemWalquist-Estabrook prolongation technique

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Gravitational energy and conservation laws; groups of motions (83C40) Partial differential equations of mathematical physics and other areas of application (35Q99) Applications of local differential geometry to the sciences (53B50)

Related Items (2)

Three-dimensional representation of the double quantum algebra \(su_ q (\eta(J))\) and the \(q\)-deformation of the double complex Ernst equation ⋮ Singular solutions of the axially symmetric Bogomolny equations

Cites Work

• Prolongation structures of nonlinear evolution equations
• Some special solutions of the equations of axially symmetric gravitational fields
• A Method for Generating Solutions of Einstein's Equations
• A Method for Generating New Solutions of Einstein's Equation. II

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