Geodesically complete cylindrical spacetimes
L. Fern\'andez-Jambrina
TL;DR
This paper establishes a broad sufficient condition ensuring that orthogonally transitive G2 cylindrical spacetimes are free of singularities, encompassing all known geodesically complete perfect fluid cosmologies.
Contribution
It introduces a general sufficient condition for singularity-free cylindrical spacetimes, unifying known geodesically complete perfect fluid cosmologies.
Findings
Derived a sufficient condition for singularity-free spacetimes
Unified all known geodesically complete perfect fluid cosmologies under this condition
Provided a criterion applicable to a broad class of cylindrical spacetimes
Abstract
A sufficient condition for an orthogonally transitive G2 cylindrical spacetime to be singularity-free is shown. The condition is general enough to comprise all known geodesically complete perfect fluid cosmologies.
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Taxonomy
TopicsCosmology and Gravitation Theories · Black Holes and Theoretical Physics · Advanced Differential Geometry Research