On the construction of exact solutions of the stationary axially symmetric Einstein equations

DOI10.1007/BF01762141zbMath0483.35074OpenAlexW2084758979MaRDI QIDQ1163168

Yoshimasa Nakamura

Publication date: 1981

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01762141

zbMATH Keywords

Einstein equationsBäcklund transformationsinverse scattering formulaKasner type solutionsstationary axially symmetric vacuum field

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Partial differential equations of mathematical physics and other areas of application (35Q99) Solutions to PDEs in closed form (35C05)

Related Items (1)

Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutions

Cites Work

• Unnamed Item
• Bäcklund transformations, the inverse scattering method, solitons, and their applications. NSF research workshop on contact transformations
• Bäcklund transformations for the Ernst equation

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