Geodesic completeness of diagonal $G_2$ metrics
L. Fern\'andez-Jambrina
TL;DR
This paper provides a sufficient condition ensuring geodesic completeness for a class of diagonal $G_2$ metrics, encompassing all known non-singular diagonal perfect fluid cosmological models.
Contribution
It introduces a weak sufficient condition for geodesic completeness applicable to diagonal orthogonally transitive cylindrical $G_2$ metrics.
Findings
Condition guarantees geodesic completeness in specified metrics
Includes all known non-singular diagonal perfect fluid models
Broadens understanding of singularity conditions in cosmology
Abstract
In this talk a sufficient condition for a diagonal orthogonally transitive cylindrical metric to be geodesically complete is given. The condition is weak enough to comprise all known diagonal perfect fluid cosmological models that are non-singular.
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
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Geometric Analysis and Curvature Flows