The Gowdy cosmologies revisited

Abstract

We have examined, repeated and extended earlier numerical calculations of Berger and Moncrief for the evolution of unpolarized Gowdy T 3 cosmological models. Our results are consistent with theirs and we support their claim that the models exhibit AVTD behaviour, even though spatial derivatives cannot be neglected. The behaviour of the curvature invariants and the formation of structure through evolution both backwards and forwards in time is discussed.

The fine structure of Gowdy spacetimes

“…AMR was applied to the Gowdy spacetimes by Hern and Stewart. [21] Unfortunately, AMR codes are quite involved and difficult to write. Moreover, the full machinery of AMR may not be needed since it appears that in a given Gowdy spacetime there is a limited number of spikes and that their positions change very little as the singularity is approached.…”

New explicit spike solutions—non-local component of the generalized Mixmaster attractor

“…Since then many efforts have been spent trying to understand these spiky structures in Gowdy spacetimes and in more general G 2 spacetimes through numerical simulations and analytical approximations [2,3,4,5,6,7].…”

Coordinate singularities in harmonically sliced cosmologies

“…As yet however no definite conclusions regarding the effectiveness of this approach have been reached. (8) and is given an inhomogeneous initial lapse (15). The time function T is evaluated from equation (14) and presented as a contour plot with respect to the coordinates (t, x) of the original metric.…”