TL;DR
This paper introduces new varieties of Gowdy spacetimes related to Thurston's geometries, providing explicit compactifications and boundary conditions, with implications for their behavior near the initial singularity.
Contribution
It systematically presents new Gowdy spacetime varieties linked to Thurston's geometries, including explicit compactifications and boundary conditions.
Findings
New Gowdy spacetime varieties related to Thurston's geometries
Explicit spatial compactifications and boundary conditions provided
Implications discussed for dynamics near the initial singularity
Abstract
Gowdy spacetimes are generalized to admit two commuting spatial "local" Killing vectors, and some new varieties of them are presented, which are all closely related to Thurston's geometries. Explicit spatial compactifications, as well as the boundary conditions for the metrics are given in a systematic way. A short comment on an implication to their dynamics toward the initial singularity is made.
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