Abstract
The problem of geodesic incompleteness is examined for space–times with Finkelstein–Misner kinks. A discussion of spherically symmetric kink space–times is followed by specific examples in which geodesics, initially incomplete in the original space–time, are shown to be extendible by the Kruskal technique. The structure of the two Kruskal patches and their matching at the patch boundaries are worked out in detail for one such example. Comments are made concerning a possible link between extendibility and energy conditions. It is shown that the kinds of spherically symmetric kink space–times examined in the present paper do not satisfy the strong energy condition.
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