| Naked strong curvature singularities in Szekeres space-times (1996) | |||||||||||||
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| We investigate the occurrence and nature of naked singularities in the Szekeres space-times. These space-times represent irrotational dust. They do not have any Killing vectors and they are generalisations of the Tolman-Bondi-Lemaitre space-times. It is shown that in these space-times there exist naked singularities that satisfy both the limiting focusing condition and the strong limiting focusing condition. The implications of this result for the cosmic censorship hypothesis are discussed. 1 There exist many explicit solutions of the Einstein equations that exhibit naked singularities. Nevertheless the cosmic censorship hypothesis can still be true if these singularities could be shown to be in some sense non-generic. It was supposed by Tipler [1] and independently by Kr'olak [2] that all generic singularities are of strong curvature type. We say that a future-incomplete (respectively past-incomplete) causal geodesic terminates in a strong curvature singularity in the future (respec... | |||||||||||||
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