PROPER CURVATURE COLLINEATIONS IN NONSTATIC SPHERICALLY SYMMETRIC SPACE–TIMES

DOI10.1142/S0217751X08038512zbMath1158.83012arXiv0804.2927OpenAlexW3104661475MaRDI QIDQ5503046

M. Ramzan, Ghulam Shabbir

Publication date: 12 January 2009

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0804.2927

zbMATH Keywords

curvature collineationsdirect integration techniquesrank of the \(6\times6\) Riemann matrix

Mathematics Subject Classification ID

Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (4)

A note on proper curvature collineations in Bianchi type VIII and IX space-times ⋮ Invariant Ricci collineations on three-dimensional Lie groups ⋮ A note on proper curvature symmetry in general cylindrically symmetric four-dimensional Lorentzian manifolds ⋮ A note on classification of dust static plane symmetric space-times via proper curvature collineations in \(f(R)\) gravity

Cites Work

• Curvature collineations and the determination of the metric from the curvature in General Relativity
• Curvature and conformal collineations in presence of matter
• Perfect fluid spacetimes admitting curvature collineations
• Curvature collineations in conformally flat spacetimes
• Some remarks on curvature tensor integrability in spacetimes
• Curvature collineations in general relativity. II
• Classification of spherically symmetric static space–times by their curvature collineations
• Proper projective symmetry in plane symmetric static spacetimes
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor
• A note on curvature collineations in spacetimes

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