Classification of cylindrically symmetric static spacetimes according to their Ricci collineations

DOI10.1023/A:1026238724400zbMath1040.83006MaRDI QIDQ1420812

D. Massart

Publication date: 23 January 2004

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

zbMATH Keywords

Einstein field equationsRicci tensorKilling vectorsstress energy tensorLie algebra structurecylindrically symmetric static Lorentzian manifoldsRicci collineation equations

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 (8)

Explication of the conserved quantities corresponding to the spacetimes carrying 10 Noether symmetries ⋮ Homothetic Ricci collineations in non-static plane symmetric spacetimes with perfect fluid matter ⋮ Complete classification of cylindrically symmetric static spacetimes and the corresponding conservation laws ⋮ Comments on matter collineations of plane symmetric, cylindrically symmetric, and spherically symmetric space–times ⋮ Addendum: Symmetries of the energy-momentum tensor ⋮ Stationary cylindrical anisotropic fluid ⋮ Conformal collineations of the Ricci and energy-momentum tensors in static plane symmetric space-times ⋮ ON THE DEFINITION OF MATTER COLLINEATIONS

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