Classification of curvature collineations of plane symmetric static spacetimes

DOI10.1063/1.533233zbMath0978.83018OpenAlexW2036189403MaRDI QIDQ2737925

Abdul R. Kashif, Ashfaque H. Bokhari, Asghar Qadir

Publication date: 30 August 2001

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

Full work available at URL: https://doi.org/10.1063/1.533233

zbMATH Keywords

plane symmetricstatic spacetimescurvature collineations

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (11)

Classification of plane symmetric static space-times according to their Noether symmetries ⋮ A complete classification of curvature collineations of cylindrically symmetric static metrics ⋮ Noether symmetries and conserved quantities for spaces with a section of zero curvature ⋮ Symmetries of Energy-Momentum Tensor: Some Basic Facts ⋮ WEYL COLLINEATIONS THAT ARE NOT CURVATURE COLLINEATIONS ⋮ Complete classification of cylindrically symmetric static spacetimes and the corresponding conservation laws ⋮ A note on Noether symmetries and conformal Killing vectors ⋮ Noether symmetry analysis for novel gravitational wave-like spacetimes and their conservation laws ⋮ Energy Conditions and Conservation Laws in LRS Bianchi Type I Spacetimes via Noether Symmetries ⋮ New black hole solutions of Einstein field equations and their Riemann curvature tensors ⋮ Positive energy condition and conservation laws in Kantowski-Sachs spacetime via Noether symmetries

Cites Work

• Collineations of the Ricci tensor
• Classification of spherically symmetric static space–times by their curvature collineations
• Symmetries of static, spherically symmetric space-times
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor

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