Ricci collineations of the Bianchi type II, VIII, and IX space-times

DOI10.1007/BF02104835zbMath0857.53066arXivgr-qc/0001004OpenAlexW3102223488MaRDI QIDQ1919245

U. Camci, Ilhami Yavuz

Publication date: 9 March 1997

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0001004

zbMATH Keywords

Ricci collineationscontracted Ricci collineationsRobertson-Walker metrics

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)

Related Items (13)

Comment: Towards a complete classification of spherically symmetric Lorentzian manifolds according to their Ricci collineations ⋮ Effective gravitational equations induced by quantum effects of a scalar field in the Bianchi type IX spaces ⋮ MATTER COLLINEATIONS OF BIANCHI V SPACETIME ⋮ Classification of spherically symmetric static spacetimes according to their matter collineations ⋮ Classification of Kantowski–Sachs metric via conformal Ricci collineations ⋮ Noether symmetries of Bianchi type II spacetimes ⋮ Classification of locally rotationally symmetric Bianchi-I space-times using conformal Ricci collineations ⋮ CLASSIFICATIONS OF KANTOWSKI–SACHS, BIANCHI TYPES I AND III SPACETIMES ACCORDING TO RICCI COLLINEATIONS ⋮ Homothetic Ricci collineations in non-static plane symmetric spacetimes with perfect fluid matter ⋮ About Bianchi I with VSL ⋮ Conformal collineations of the Ricci and energy-momentum tensors in static plane symmetric space-times ⋮ RICCI COLLINEATIONS OF THE BIANCHI TYPES I AND III, AND KANTOWSKI–SACHS SPACETIMES ⋮ Matter collineations in Kantowski-Sachs, Bianchi types I and III spacetimes

Cites Work

• Unnamed Item
• Biachi type-II cosmological model with viscous fluid
• The Robertson-Walker metric and the symmetries belong to the family of contracted Ricci collineations
• Bianchi type-II, VIII, and IX models in certain new theories of gravitation
• Collineations of the Ricci tensor
• Ricci collineations of static spherically symmetric spacetimes
• 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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