Fastest curves and toroidal black holes
Banach Center Publications, Tome 41 (1997) no. 1, pp. 233-242
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.
@article{10_4064__41_1_233_242,
author = {E. Woolgar},
title = {Fastest curves and toroidal black holes},
journal = {Banach Center Publications},
pages = {233--242},
year = {1997},
volume = {41},
number = {1},
doi = {10.4064/-41-1-233-242},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/-41-1-233-242/}
}
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
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