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Displaying similar documents to “A survey on the Hawking – Penrose theory”

Fastest curves and toroidal black holes

E. Woolgar (1997)

Banach Center Publications

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We discuss an apparent paradox (and conjectured resolution) of Jacobson and Venkataramani concerning 'temporarily toroidal' black hole horizons, in light of a recent connectivity theorem for spaces of complete causal curves. We do this in a self-contained manner by first reviewing the 'fastest curve argument' which proves this connectivity theorem, and we note that active topological censorship can be derived as a corollary of this argument. We argue that the apparent paradox arises...

Some remarks on duality in S 3

Ian Porteous (1999)

Banach Center Publications

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In this paper we review some of the concepts and results of V. I. Arnol’d [1] for curves in S 2 and extend them to curves and surfaces in S 3 .