CLASSIFICATIONS OF KANTOWSKI–SACHS, BIANCHI TYPES I AND III SPACETIMES ACCORDING TO RICCI COLLINEATIONS

DOI10.1142/S0218271803002354zbMath1079.83549MaRDI QIDQ5699978

U. Camci, Ilhami Yavuz

Publication date: 27 October 2005

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

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory (83C20)

Related Items (11)

Homothetic Ricci collineations of non-static spherically symmetric spacetimes with perfect fluid matter ⋮ 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 ⋮ Classification of Kantowski–Sachs metric via conformal Ricci collineations ⋮ Conformal Ricci collineations in LRS Bianchi type V spacetimes with perfect fluid matter ⋮ Classification of locally rotationally symmetric Bianchi-I space-times using conformal Ricci collineations ⋮ Conformal collineations of the Ricci and energy-momentum tensors in static plane symmetric space-times ⋮ Homothetic matter collineations of LRS Bianchi type V spacetimes with perfect fluid source ⋮ Conformal Ricci collineations of static space-times with maximal symmetric transverse spaces ⋮ Homothetic matter collineations of LRS Bianchi type I spacetimes

Cites Work

• The Robertson-Walker metric and the symmetries belong to the family of contracted Ricci collineations
• Ricci collineations for type \(B\) warped space-times
• Ricci collineations for non-degenerate, diagonal and spherically symmetric Ricci tensors
• Ricci and matter collineations in space-time
• Ricci collineations of the Bianchi type II, VIII, and IX space-times
• Collineations of the Ricci tensor
• RICCI COLLINEATIONS OF THE BIANCHI TYPES I AND III, AND KANTOWSKI–SACHS SPACETIMES
• Collineations of Godel-type space-times
• Ricci collineations of static spherically symmetric spacetimes
• Ricci collineations in Friedmann–Robertson–Walker spacetimes
• The classification of static plane symmetric space–times according to their Ricci collineations
• 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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