Curvature and conformal collineations in presence of matter

DOI10.1007/BF00758899zbMath0661.53054MaRDI QIDQ1113114

R. A. Tello-Llanos

Publication date: 1988

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

zbMATH Keywords

Einstein equationsspherically symmetric metricsconformal collineations

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Applications of local differential geometry to the sciences (53B50)

Related Items (6)

PROPER CURVATURE COLLINEATIONS IN KANTOWSKI–SACHS AND BIANCHI TYPE III SPACETIMES ⋮ Curvature collineations in general relativity. II ⋮ A note on proper curvature collineations in Bianchi type VIII and IX space-times ⋮ A note on proper curvature symmetry in general cylindrically symmetric four-dimensional Lorentzian manifolds ⋮ Conformal symmetries of spherical spacetimes ⋮ PROPER CURVATURE COLLINEATIONS IN NONSTATIC SPHERICALLY SYMMETRIC SPACE–TIMES

Cites Work

• Curvature collineations and the determination of the metric from the curvature in General Relativity
• Algebraic determination of the metric from the curvature in general relativity
• Anisotropic fluids and conformal motions in general relativity
• On the determination of the energy-momentum tensor and Weyl tensor structure from the curvature in space-time
• Geodesic first integrals with explicit path-parameter dependence in Riemannian space–times
• Spacetimes admitting a vector field whose inner product with the Riemann tensor is zero
• The Riemann tensor, the metric tensor, and curvature collineations in general relativity
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor

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