Kinematic self-similar locally rotationally symmetric models

Abstract

A brief summary of results on kinematic self-similarities in general relativity is given. Attention is focussed on locally rotationally symmetric models admitting kinematic self-similar vectors. Coordinate expressions for the metric and the kinematic self-similar vector are provided. Einstein's field equations for perfect fluid models are investigated and all the homothetic perfect fluid solutions admitting a maximal four-parameter group of isometries are given.

12 pages, LaTeX, final version, to appear in Class. Quantum Grav

References in corpus (3)

• Self-Similarity in General Relativity \endtitle
• Invariant construction of solutions to Einstein`s field equations - LRS perfect fluids I
• Self-similar static solutions admitting a two-space of constant curvature

Cited by in corpus (8)

• Self-Similarity in General Relativity \endtitle
• Symmetries of Bianchi I space-times
• Ricci and matter collineations of locally rotationally symmetric space-times
• Bi-conformal vector fields and their applications
• Hypersurface homogeneous locally rotationally symmetric spacetimes admitting conformal symmetries
• Infinite Kinematic Self-Similarity and Perfect Fluid Spacetimes
• A geometric description of the intermediate behaviour for spatially homogeneous models
• About Bianchi I with VSL