Singularity-free orthogonally-transitive cylindrical spacetimes
L. Fern\'andez-Jambrina
TL;DR
This paper generalizes a theorem on geodesic completeness from diagonal to nondiagonal orthogonally-transitive cylindrical spacetimes, providing a sufficient condition for their causal geodesic completeness.
Contribution
It extends existing results by including nondiagonal cases, broadening the understanding of geodesic completeness in cylindrical spacetimes.
Findings
A generalized theorem for geodesic completeness in nondiagonal cylindrical spacetimes
A sufficient condition for causal geodesic completeness
Broader applicability of geodesic completeness criteria
Abstract
In this talk a previous theorem on geodesic completeness of diagonal cylindrical spacetimes will be generalized to cope with the nondiagonal case. A sufficient condition for such spacetimes to be causally geodesically complete will be given
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Taxonomy
TopicsAdvanced Differential Geometry Research · Geometric Analysis and Curvature Flows · Relativity and Gravitational Theory