RICCI COLLINEATIONS OF THE BIANCHI TYPES I AND III, AND KANTOWSKI–SACHS SPACETIMES

DOI10.1142/S0218271801001219zbMath1155.83321arXivgr-qc/0010057OpenAlexW1971891894MaRDI QIDQ3376511

U. Camci, Ihsan Onur Yilmaz, Ismail Tarhan, Hüsnü Baysal, Ilhami Yavuz

Publication date: 23 March 2006

Published in: International Journal of Modern Physics D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/gr-qc/0010057

Mathematics Subject Classification ID

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

Related Items (12)

MATTER COLLINEATIONS OF BIANCHI V SPACETIME ⋮ Non-static spherically symmetric spacetimes and their conformal Ricci collineations ⋮ Classification of spherically symmetric static spacetimes according to their matter collineations ⋮ Ricci bi-conformal vector fields on homogeneous Gödel-type spacetimes ⋮ Classification of Kantowski–Sachs metric via conformal Ricci collineations ⋮ 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 ⋮ About Bianchi I with VSL ⋮ Conformal collineations of the Ricci and energy-momentum tensors in static plane symmetric space-times ⋮ Conformal Ricci collineations of static space-times with maximal symmetric transverse spaces ⋮ The generic model of general relativity ⋮ Matter collineations in Kantowski-Sachs, Bianchi types I and III spacetimes

Cites Work

• On certain timelike symmetry properties and the evolution of matter field space-times that admit them
• Kantowski-Sachs cosmological model and an inflationary era
• The Robertson-Walker metric and the symmetries belong to the family of contracted Ricci collineations
• Ricci and matter collineations in space-time
• Ricci collineations of the Bianchi type II, VIII, and IX space-times
• Collineations of the Ricci tensor
• Symmetries and conserved quantities in geodesic motion
• Geodesic first integrals with explicit path-parameter dependence in Riemannian space–times
• Ricci collineations of static spherically symmetric spacetimes
• Matter collineations: The inverse ‘‘symmetry inheritance’’ problem
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor
• Ricci and contracted Ricci collineations of the Robertson–Walker space-time

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