Classification of spherically symmetric static spacetimes according to their matter collineations

DOI10.1023/A:1024073002648zbMath1034.83009arXivgr-qc/0301041OpenAlexW3105309380MaRDI QIDQ1398100

Sehar Aziz, Muhammad Sharif

Publication date: 6 August 2003

Published in: General Relativity and Gravitation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0301041

zbMATH Keywords

energy momentum tensors

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)

Related Items (7)

Symmetries of the energy–momentum tensor of spherically symmetric Lorentzian manifolds ⋮ Symmetries of Energy-Momentum Tensor: Some Basic Facts ⋮ Construction of sources for Majumdar-Papapetrou spacetimes ⋮ TELEPARALLEL KILLING VECTORS OF THE EINSTEIN UNIVERSE ⋮ Addendum: Symmetries of the energy-momentum tensor ⋮ Matter collineation classification of Bianchi type II spacetime ⋮ Generalizing Birkhoff

Cites Work

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• Special conformal Killing vector space-times and symmetry inheritance
• Symmetries and conserved quantities in geodesic motion
• Ricci collineations of static spherically symmetric spacetimes
• Matter collineations: The inverse ‘‘symmetry inheritance’’ problem
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• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor
• CLASSIFICATIONS OF KANTOWSKI–SACHS, BIANCHI TYPES I AND III SPACETIMES ACCORDING TO RICCI COLLINEATIONS
• Matter collineations of some static spherically symmetric spacetimes

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