PROPER CURVATURE COLLINEATIONS IN KANTOWSKI–SACHS AND BIANCHI TYPE III SPACETIMES

DOI10.1142/S0217732307021263zbMath1114.83301arXivgr-qc/0606106OpenAlexW1497785329MaRDI QIDQ3442739

Ghulam Shabbir, Abu Bakar Mehmood

Publication date: 23 May 2007

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0606106

zbMATH Keywords

bivectorscurvature collineationsrank of the \(6\times 6\) Riemann matrix

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (8)

Homothetic motion in a Bianchi type-I model in Lyra geometry ⋮ PROPER PROJECTIVE SYMMETRY IN KANTOWSKI–SACHS AND BIANCHI TYPE III SPACETIMES ⋮ A note on proper conformal vector fields of Bianchi type-I perfect fluid space-times in f(R,T) gravity ⋮ A note on proper curvature collineations in Bianchi type VIII and IX space-times ⋮ A note on some perfect fluid Kantowski–Sachs and Bianchi type III spacetimes and their conformal vector fields in f(R) theory of gravity ⋮ Invariant Ricci collineations on three-dimensional Lie groups ⋮ A note on classification of dust static plane symmetric space-times via proper curvature collineations in \(f(R)\) gravity ⋮ Homothetic vector field in plane symmetric Bianchi type-I cosmological model in Lyra geometry

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

This page was built for publication: PROPER CURVATURE COLLINEATIONS IN KANTOWSKI–SACHS AND BIANCHI TYPE III SPACETIMES