Hypersurface-orthogonal generators of an orthogonally transitive \(G_2I\), topological identifications, and axially and cylindrically symmetric space-times

DOI10.1023/A:1018833219068zbMath0926.53043arXivgr-qc/9710024OpenAlexW1853063365MaRDI QIDQ1267050

Malcolm A. H. MacCallum

Publication date: 2 December 1999

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

Full work available at URL: https://arxiv.org/abs/gr-qc/9710024

zbMATH Keywords

holonomystationaryKilling vectorscylindrical symmetrycanonical coordinatesexterior solutionshypersurface-orthogonal generatorstwo-parameter Abelian group of motions

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) 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)

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Cites Work

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• `Elementary flatness' on a symmetry axis
• Stationary ``Noncanonical Solutions of the Einstein Vacuum Field Equations
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