Space-times admitting a three-dimensional conformal group

DOI10.1007/BF02106970zbMath0848.53042arXivgr-qc/0005070OpenAlexW3102247599MaRDI QIDQ1912521

J. Carot, Alicia M. Sintes, Alan A. Coley

Publication date: 27 October 1996

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

Full work available at URL: https://arxiv.org/abs/gr-qc/0005070

zbMATH Keywords

perfect fluidconformal symmetryKilling vector fieldsfluid flowLie algebra of conformal vector fields

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) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50)

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Cites Work

• Unnamed Item
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• Homothety groups in space-time
• Perfect fluids with conformal motion
• Spherically symmetric spacetimes admitting inheriting conformal Killing vector fields
• Conformal symmetries and fixed points in space-time
• Orthogonally transitive G ₂ cosmologies
• Fluid spacetimes admitting a conformal Killing vector parallel to the velocity vector
• Conformal symmetry of perfect fluids in general relativity
• Spacetimes admitting inheriting conformal Killing vector fields
• Qualitative analysis of a class of inhomogeneous self-similar cosmological models
• Qualitative analysis of a class of inhomogeneous self-similar cosmological models. II
• Inhomogeneous perfect fluid cosmologies
• Exact solutions with conformal Killing vector fields
• New family of stationary and axisymmetric perfect-fluid solutions
• Plane symmetric spacetimes admitting inheriting conformal Killing vector fields
• Axial symmetry and conformal Killing vectors
• Space–times admitting a three-parameter similarity group
• Diagonal G ₂ spacetimes admitting inheriting conformal Killing vector fields

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