A note on proper curvature symmetry in general cylindrically symmetric four-dimensional Lorentzian manifolds

DOI10.1142/S0219887818501050zbMath1471.83008arXiv1309.7462OpenAlexW2789391662MaRDI QIDQ4641547

Ghulam Shabbir, M. Ramzan, Abdul Hamid Kara

Publication date: 17 May 2018

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

Full work available at URL: https://arxiv.org/abs/1309.7462

zbMATH Keywords

direct integration techniquerank of the \(6 \times 6\) Riemann matrixproper curvature symmetry

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) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items (4)

A note on classification of locally rotationally symmetric Bianchi type I space–times via conformal vector fields in f(T,B) gravity ⋮ Classification of proper non-static cylindrically symmetric perfect fluid space-times via conformal vector fields in f(R) gravity ⋮ Conformal vector fields of some vacuum classes of static spherically symmetric space-times in f(T,B) gravity ⋮ A note on classification of dust static plane symmetric space-times via proper curvature collineations in \(f(R)\) gravity

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