Comment on Ricci Collineations for spherically symmetric space-times
Pantelis S. Apostolopoulos, Michael Tsamparlis
TL;DR
This paper critiques prior work on Ricci Collineations in spherically symmetric space-times, providing a more complete analysis and presenting the full algebra of Ricci Collineations for specific Robertson-Walker metrics.
Contribution
It demonstrates that previous results were incomplete and offers a comprehensive derivation of Ricci Collineations for certain Robertson-Walker metrics.
Findings
Previous results did not cover all cases of Ricci Collineations.
Complete algebra of Ricci Collineations for specific Robertson-Walker metrics is provided.
Highlights gaps in earlier classifications of Ricci Collineations.
Abstract
It is shown that the results of the paper by Contreras et al. [Contreras, G., Nunez, L. A., Percoco, U. "Ricci Collineations for Non-degenerate, Diagonal and Spherically Symmetric Ricci Tensors" (2000) Gen. Rel. Grav. 32, 285-294] concerning the Ricci Collineations in spherically symmetric space-times with non-degenerate and diagonal Ricci tensor do not cover all possible cases. Furthermore the complete algebra of Ricci Collineations of certain Robertson-Walker metrics of vanishing spatial curvature are given.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Elasticity and Material Modeling