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

DOI10.1063/1.525735zbMath0548.53031OpenAlexW2015500993MaRDI QIDQ3339702

Yoshimasa Nakamura

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1063/1.525735

zbMATH Keywords

Riemann-Hilbert problemexact solutionsBäcklund transformationssoliton theoryaxially symmetric vacuum Einstein equations

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Applications of local differential geometry to the sciences (53B50)

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Cites Work

• On the construction of exact solutions of the stationary axially symmetric Einstein equations
• Instantons and algebraic geometry