An example of affine collineation in the Robertson–Walker metric

DOI10.1063/1.527007zbMath0601.53082OpenAlexW2064713865MaRDI QIDQ3736525

No author found.

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527007

zbMATH Keywords

geodesicsEinstein's equationsRobertson-Walker metricenergy conditionsaffine collineation

Mathematics Subject Classification ID

Applications of global differential geometry to the sciences (53C80) Exact solutions to problems in general relativity and gravitational theory (83C15)

Related Items

Affine symmetry, geodesics, and homogeneous spacetimes, Ricci collineations for type \(B\) warped space-times, Affine collineations in Robertson–Walker space-time, Groups of transformations of Riemannian manifolds, Proper affine collineations in Robertson–Walker space-times, Checking collineation vectors with REDUCE, Ricci and contracted Ricci collineations of the Robertson–Walker space-time, Affine collineations in Riemannian spaces, Asymptotic symmetries in cosmological models, On the geometry of generalized Robertson-Walker spacetimes: geodesics., Constants of motion of geodesics equations. Examples

Cites Work

• Symmetries and conserved quantities in geodesic motion
• Related First Integral Theorem: A Method for Obtaining Conservation Laws of Dynamical Systems with Geodesic Trajectories in Riemannian Spaces Admitting Symmetries
• Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature Tensor