Symmetries of the energy–momentum tensor of spherically symmetric Lorentzian manifolds

DOI10.1063/1.1610779zbMath1062.83024arXivgr-qc/0307116OpenAlexW3105632423MaRDI QIDQ4833170

Muhammad Sharif

Publication date: 14 December 2004

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0307116

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20) Gravitational energy and conservation laws; groups of motions (83C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

Related Items (10)

Classification of static plane symmetric space–times according to their matter collineations ⋮ Symmetries of the energy-momentum tensor of cylindrically symmetric static space–times ⋮ PROPER MATTER COLLINEATIONS OF PLANE SYMMETRIC SPACETIMES ⋮ 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 ⋮ ENERGY–MOMENTUM DISTRIBUTIONS OF FIVE-DIMENSIONAL HOMOGENEOUS-ANISOTROPIC UNIVERSES ⋮ Matter collineation classification of Bianchi type II spacetime ⋮ ON THE DEFINITION OF MATTER COLLINEATIONS

Cites Work

• The Robertson-Walker metric and the symmetries belong to the family of contracted Ricci collineations
• Null electromagnetic fields, total gravitational radiation and collineations in general relativity
• Classification of spherically symmetric static spacetimes according to their matter collineations
• Some remarks on symmetries and transformation groups in general relativity
• Matter collineations in Kantowski-Sachs, Bianchi types I and III spacetimes
• Ricci and matter collineations in space-time
• Special conformal Killing vector space-times and symmetry inheritance
• Conformal Killing vectors in Robertson-Walker spacetimes
• Matter collineations: The inverse ‘‘symmetry inheritance’’ problem
• Matter collineations of spacetime homogeneous G del-type metrics
• Ricci collineations in Friedmann–Robertson–Walker spacetimes
• Groups of Curvature Collineations in Riemannian Space-Times Which Admit Fields of Parallel Vectors
• Matter collineations of some static spherically symmetric spacetimes

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