Proper affine collineations in Robertson–Walker space-times

DOI10.1063/1.527852zbMath0669.53018OpenAlexW1990991532MaRDI QIDQ3822792

C. D. Collinson

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1063/1.527852

zbMATH Keywords

Robertson-Walker space-timesaffine collineation

Mathematics Subject Classification ID

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

Related Items (6)

Affine symmetry, geodesics, and homogeneous spacetimes ⋮ On pseudo H-symmetric Lorentzian manifolds with applications to relativity ⋮ Some characterizations of Lorentzian manifolds ⋮ Groups of transformations of Riemannian manifolds ⋮ Ricci and contracted Ricci collineations of the Robertson–Walker space-time ⋮ On a type of spacetimes

Cites Work

• Curvature collineations and the determination of the metric from the curvature in General Relativity
• An example of affine collineation in the Robertson–Walker metric
• Affine collineations in Robertson–Walker space-time
• 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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