Singularity-Free Cylindrical Cosmological Model
L. Fernandez-Jambrina

TL;DR
This paper presents a cylindrically symmetric cosmological model with a stiff fluid that is free of curvature singularities, geodesically complete, and globally hyperbolic, contributing to singularity-free cosmological solutions.
Contribution
It introduces a new singularity-free cylindrically symmetric perfect fluid spacetime with a stiff fluid, proven to be geodesically complete and globally hyperbolic.
Findings
No curvature singularity in the model
Spacetime is geodesically complete
Model is globally hyperbolic
Abstract
A cylindrically symmetric perfect fluid spacetime with no curvature singularity is shown. The equation of state for the perfect fluid is that of a stiff fluid. The metric is diagonal and non-separable in comoving coordinates for the fluid. It is proven that the spacetime is geodesically complete and globally hyperbolic.
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