Thomas Jurke 2003 Class. Quantum Grav. 20 173 doi:10.1088/0264-9381/20/1/313
Thomas Jurke1
Show affiliationsGowdy's model of cosmological spacetimes is a much investigated subject in classical and quantum gravity. Depending on spatial topology, re-collapsing as well as expanding models are known. Several analytical tools were used in order to clarify singular behaviour in this class of spacetimes. Here we investigate the structure of a certain subclass, the polarized Gowdy models with spatial
3-topology, in general. The asymptotics for general solutions of the dynamical equation for one of the gravitational degrees of freedom play a key role while the asymptotic behaviour of the remaining metric function is a result of solving the Hamiltonian constraint equation. Using both, we prove future geodesic completeness in all spacetimes of this type.
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 1 (7 January 2003)
Received 9 October 2002
Published 12 December 2002
Thomas Jurke 2003 Class. Quantum Grav. 20 173
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