Proper conformal symmetries of conformal symmetric space-times

DOI10.1063/1.528127zbMath0659.53029OpenAlexW2003568580MaRDI QIDQ3808814

Ramesh Sharma

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528127

zbMATH Keywords

conformal Killing vectorspp wavesconformally symmetric space-times

Mathematics Subject Classification ID

Gravitational energy and conservation laws; groups of motions (83C40) Applications of local differential geometry to the sciences (53B50) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Related Items (5)

Fluid space–times and conharmonic symmetries ⋮ Groups of transformations of Riemannian manifolds ⋮ Projectively flat surfaces, null parallel distributions, and conformally symmetric manifolds ⋮ Proper semiconformal symmetries of spacetimes with divergence-free semiconformal curvature tensor ⋮ Proper conformal symmetries of space-times with divergence-free Weyl conformal tensor

Cites Work

• Homothetic and conformal symmetries of solutions to Einstein's equations
• Asymptotically flat space-times have no conformal Killing fields
• Spacetimes with cosmological constant and a conformal Killing field have constant curvature
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor
• Complex recurrent space-times

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