Classification of static plane symmetric space–times according to their matter collineations

DOI10.1063/1.1650537zbMath1066.83010arXivgr-qc/0310019OpenAlexW2055342374MaRDI QIDQ4833371

Muhammad Sharif

Publication date: 15 December 2004

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0310019

Mathematics Subject Classification ID

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

Related Items (13)

Symmetries of the energy-momentum tensor of cylindrically symmetric static space–times ⋮ Killing and Noether symmetries of plane symmetric spacetime ⋮ Expanding, shearing and accelerating isotropic plane symmetric universe with conformal Kasner geometry ⋮ PROPER MATTER COLLINEATIONS OF PLANE SYMMETRIC SPACETIMES ⋮ Noether symmetries for a class of static plane symmetric solutions in f(T) gravity ⋮ Symmetries of Energy-Momentum Tensor: Some Basic Facts ⋮ TELEPARALLEL KILLING VECTORS OF THE EINSTEIN UNIVERSE ⋮ Comments on matter collineations of plane symmetric, cylindrically symmetric, and spherically symmetric space–times ⋮ Addendum: Symmetries of the energy-momentum tensor ⋮ Matter collineation classification of Bianchi type II spacetime ⋮ Geometrical/physical interpretation of the conserved quantities corresponding to Noether symmetries of plane symmetric space-times ⋮ MATTER INHERITANCE SYMMETRIES OF SPHERICALLY SYMMETRIC STATIC SPACE–TIMES ⋮ Conservation laws corresponding to the Noether symmetries of the geodetic Lagrangian in spherically symmetric spacetimes

Cites Work

• Some remarks on symmetries and transformation groups in general relativity
• Ricci and matter collineations in space-time
• Symmetries of Bianchi I space–times
• The classification of plane symmetric spacetimes by isometries
• Special conformal Killing vector space-times and symmetry inheritance
• 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
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor
• Matter collineations of some static spherically symmetric spacetimes

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