Mathematical Proceedings of the Cambridge Philosophical Society · 1966 · 45 citations · 2 references
Natural SciencesPhysicsGravitationGravityRelativityCurved SpacetimeEinstein Field EquationsGeneral RelativityGravitational FieldsSpacetime GeometrySpecial RelativityEinstein Equations With Matter FieldsEinstein Field Equations In CosmologyEquations Of Motion In General RelativityGeneral Relativity In CosmologySpatially Homogeneous SpacetimesVacuum Einstein Equations
Abstract A solution of Einstein's vacuum field equations, apparently new, is exhibited. The metric, which is homogeneous (that is, admits a three-parameter group of motions transitive on space-like hypersurfaces), belongs to Taub Type V. The canonical form of the Riemann tensor, which is of Petrov Type I, is determined.
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Empty Space-Times Admitting a Three Parameter Group of Motions
A. H. Taub · Annals of Mathematics · 1951 · 1.2K citations
A spinor approach to general relativity
Roger Penrose · Annals of Physics · 1960 · 607 citations