Instabilities of certain empty Robertson-Walker space-times |
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Authors: | R P A C Newman |
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Institution: | (1) Department of Applied Mathematics, Queen Mary College, Mile End Road, E1 4NS London |
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Abstract: | Results are established concerning perturbations of each empty Robertson-Walker space-time (M, g) with a nonvanishing cosmological constant. The perturbed space-times have the general form (
) with
an extension ofM, and
lying in an open neighborhood of g in a type ofW
m
topology. These results indicate that large classes of such perturbations give rise to space-times which suffer from one of two types of incompleteness. |
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Keywords: | |
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