Gowdy phenomenology in scale-invariant variables

Abstract

The dynamics of Gowdy vacuum spacetimes is considered in terms of Hubble-normalized scale-invariant variables, using the timelike area temporal gauge. The resulting state space formulation provides for a simple mechanism for the formation of ``false'' and ``true spikes'' in the approach to the singularity, and a geometrical formulation for the local attractor.

33 pages, 17 figures. To appear in A Spacetime Safari: Papers in Honour of Vincent Moncrief

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• Cosmological models from a dynamical systems perspective
• The Dynamics of Inhomogeneous Cosmologies
• Second-order hyperbolic Fuchsian systems. Asymptotic behavior of geodesics in Gowdy spacetimes
• Asymptotics and singularities in cosmological models with positive cosmological constant
• Quantum Cosmological Metroland Model
• Cylindrical gravitational waves in expanding universes: Models for waves from compact sources