Classification of the pseudosymmetric space–times

DOI10.1063/1.1745129zbMath1071.83016OpenAlexW2070357619MaRDI QIDQ4833428

Stefan Haesen, Leopold Verstraelen

Publication date: 15 December 2004

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

Full work available at URL: https://doi.org/10.1063/1.1745129

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Spinor and twistor methods in general relativity and gravitational theory; Newman-Penrose formalism (83C60)

Related Items (11)

Curvature properties of interior black hole metric ⋮ Properties of a scalar curvature invariant depending on two planes ⋮ Curvature properties of Robinson-Trautman metric ⋮ On warped product manifolds satisfying some curvature conditions ⋮ A classification of Roter type spacetimes ⋮ Pseudosymmetry collineations ⋮ Curvature properties of Gödel metric ⋮ Hypersurfaces satisfying some curvature conditions in the semi-Euclidean space ⋮ On the parallel transport of the Ricci curvatures ⋮ On Chen ideal submanifolds satisfying some conditions of pseudo-symmetry type ⋮ A METHOD TO CONSTRUCT 4-DIMENSIONAL SPACETIMES WITH A SPACELIKE CIRCLE ACTION

Cites Work

• The symmetry of warped product space-times
• On hypersurfaces satisfying a certain condition on the curvature tensor
• An example of Riemannian manifolds satisfying \(R(X,Y)\cdot R=0\) but not \(\nabla R=0\).
• On pseudosymmetric space–times
• Type D Vacuum Metrics

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