Geodesic
Fastest curves and toroidal black holes
Banach Center Publications, Tome 41 (1997) no. 1, pp. 233-242.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 only when one dispenses with the invariant viewpoint provided by the connectivity theorem in favour of an observer-dependent description. Finally, we discuss an alternative to fastest curve arguments, which can be used to construct a self-contradictory null line in certain spacetimes violating topological censorship. These arguments may shed light on the relationship between topological and cosmic censorship.
DOI : 10.4064/-41-1-233-242

E. Woolgar 1

1 
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E. Woolgar. Fastest curves and toroidal black holes. Banach Center Publications, Tome 41 (1997) no. 1, pp. 233-242. doi : 10.4064/-41-1-233-242. http://geodesic.mathdoc.fr/articles/10.4064/-41-1-233-242/

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