Axisymmetric stationary solutions as harmonic maps

DOI10.1007/BF02108050zbMath0798.53075arXivgr-qc/9402044MaRDI QIDQ1327109

Tonatiuh Matos, Jerzy F. Plebański

Publication date: 15 June 1994

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/9402044

zbMATH Keywords

harmonic mapsKilling vectorsLewis' classWeyl's class

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (2)

Exact solutions of \(G\)-invariant chiral equations ⋮ Solitonic metrics and harmonic maps

Cites Work

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• The harmonic-map structure of the axially symmetric stationary Einstein equations
• New Series of Exact Solutions for Gravitational Fields of Spinning Masses
• Symmetries of stationary axially symmetric vacuum Einstein equations and the new family of exact solutions
• Bäcklund transforms of chiral fields
• Exact solutions of SL(N,R)-invariant chiral equations one- and two-dimensional subspaces

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