Remarks on global geodesic properties of G\"odel type spacetimes
Rossella Bartolo, Anna Maria Candela, Jos\'e Luis Flores
TL;DR
This paper reviews and extends the understanding of geodesic properties in G"odel type spacetimes, providing new results on their connectedness and completeness to deepen the mathematical understanding of these models.
Contribution
It introduces new findings on geodesic connectedness and completeness in G"odel type spacetimes, building upon previous studies.
Findings
Proved new results on geodesic connectedness.
Established conditions for geodesic completeness.
Extended previous research on geodesic properties.
Abstract
The aim of this paper is to review and complete the study of geodesics on G\"odel type spacetimes initiated in [8] and improved in [2] of the References. In particular, we prove some new results on geodesic connectedness and geodesic completeness for these spacetimes.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research · Geometry and complex manifolds