An example of affine collineation in the Robertson–Walker metric
- 1 September 1986
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 27 (9) , 2360-2361
- https://doi.org/10.1063/1.527007
Abstract
An affine collineation for the Robertson–Walker metric is found. It implies a condition on the metric that is compatible with Einstein’s equations for a perfect fluid satisfying the Hawking–Ellis energy conditions. It is shown how the geodesics of the metric are obtained from the constant of motion associated to the affine collineation.Keywords
This publication has 3 references indexed in Scilit:
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- Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature TensorJournal of Mathematical Physics, 1969
- Related First Integral Theorem: A Method for Obtaining Conservation Laws of Dynamical Systems with Geodesic Trajectories in Riemannian Spaces Admitting SymmetriesJournal of Mathematical Physics, 1968