Infinite-dimensional family of vacuum cosmological models with Taub-NUT (Newman-Unti-Tamburino)-type extensions

Physics

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Scientific paper

We show that the Gowdy metrics on T3×R contain an
infinite-dimensional subfamily of solutions which each admit a Taub-NUT
(Newman-Unti-Tamburino)-type extension. However we also show that the
generic (diagonal) Gowdy solution develops curvature singularities along
the boundary of its maximal Cauchy development and thus is inextendible.

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