New varieties of Gowdy spacetimes

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.

13 pages with no figure. A reference added, and typos corrected. To appear in J.Math.Phys

References in corpus (2)

• Canonical Structure of Locally Homogeneous Systems on Compact Closed 3-Manifolds of Types $E^3$, Nil and Sol
• Hamiltonian structures for compact homogeneous universes

Cited by in corpus (5)

• Numerical Relativity and Inhomogeneous Cosmologies
• Locally U(1)*U(1) Symmetric Cosmological Models: Topology and Dynamics
• The global existence problem in general relativity
• Thurston's Geometrization Conjecture and cosmological models
• Dynamics of solutions of the Einstein equations with twisted Gowdy symmetry