PROPER MATTER COLLINEATIONS OF PLANE SYMMETRIC SPACETIMES

DOI10.1142/S0217732307022323zbMath1155.83010OpenAlexW2084379326MaRDI QIDQ3498220

Tariq Ismaeel, Muhammad Sharif

Publication date: 28 May 2008

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

Full work available at URL: https://doi.org/10.1142/s0217732307022323

zbMATH Keywords

matter collineationsplane symmetric spacetimes

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)

Cites Work

• Matter collineations in Kantowski-Sachs, Bianchi types I and III spacetimes
• Ricci and matter collineations in space-time
• The curvature and the algebra of Killing vectors in five-dimensional space
• Matter collineations: The inverse ‘‘symmetry inheritance’’ problem
• Matter collineations of spacetime homogeneous G del-type metrics
• Ricci collineations in Friedmann–Robertson–Walker spacetimes
• Symmetries of the energy–momentum tensor of spherically symmetric Lorentzian manifolds
• Classification of static plane symmetric space–times according to their matter collineations
• Symmetries of the energy-momentum tensor of cylindrically symmetric static 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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