Classification of spherically symmetric static space–times by their curvature collineations

DOI10.1063/1.532058zbMath0884.53061OpenAlexW2088197710MaRDI QIDQ4352184

Mohammad Asghar, Ashfaque H. Bokhari, M. Shahan Ahmed, Asghar Qadir

Publication date: 11 November 1997

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

Full work available at URL: https://doi.org/10.1063/1.532058

zbMATH Keywords

spherical symmetrycurvature collineations

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (11)

PROPER CURVATURE COLLINEATIONS IN KANTOWSKI–SACHS AND BIANCHI TYPE III SPACETIMES ⋮ 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 ⋮ Classification of Variational Conservation Laws of General Plane Symmetric Spacetimes ⋮ Pseudosymmetry collineations ⋮ A note on proper curvature collineations in Bianchi type VIII and IX space-times ⋮ A note on proper curvature symmetry in general cylindrically symmetric four-dimensional Lorentzian manifolds ⋮ Classification of curvature collineations of plane symmetric static spacetimes ⋮ A note on Noether symmetries and conformal Killing vectors ⋮ PROPER CURVATURE COLLINEATIONS IN NONSTATIC SPHERICALLY SYMMETRIC SPACE–TIMES

Cites Work

• Projective collineations in Einstein spaces
• Collineations of the Ricci tensor
• Killing vectors of static spherically symmetric metrics
• Collineations of Godel-type space-times
• Projective collineations in spacetimes
• Curvature collineations of some 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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