Homothetic transformations with fixed points in spacetime

DOI10.1007/BF00758972zbMath0646.53024OpenAlexW1972267169MaRDI QIDQ1103883

Graham S. Hall

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1007/bf00758972

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (18)

Conformal vector fields in general relativity ⋮ Conformal symmetries and fixed points in space-time ⋮ Space–times admitting a three-parameter similarity group ⋮ A note on proper conformal vector fields of Bianchi type-I perfect fluid space-times in f(R,T) gravity ⋮ Affine collineations in general relativity and their fixed point structure ⋮ Homothety groups in space-time ⋮ Self-similar and charged spheres in the free-streaming approximation ⋮ Affine collineations in space-time ⋮ Vacuum type N space-times admitting homothetic vector fields with isolated fixed points ⋮ Conformal vector fields on spacetimes ⋮ Symmetries and geometry in general relativity ⋮ Special conformal symmetries in general relativity ⋮ Classification and conformal symmetry in three-dimensional space–times ⋮ Classification of proper teleparallel conformal symmetry of spherically symmetric static spacetimes using diagonal tetrads ⋮ Exact solutions for space-times admitting non-null special conformal Killing vectors ⋮ A self-similar dynamics in viscous spheres ⋮ Spacetimes with continuous linear isotropies. I: Spatial rotations ⋮ Conformal vector fields and conformal-type collineations in space-times

Cites Work

• Unnamed Item
• Physical structure of the energy-momentum tensor in general relativity
• Singular space-times
• Conformal groups and conformally equivalent isometry groups
• Proper homothetic maps and fixed points
• Singularities in self-similar spacetimes
• Singularities and homothety groups in spacetime
• The classification of the Ricci tensor in general relativity theory
• Recurrence conditions in space-time

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