Fastest curves and toroidal black holes

E. Woolgar

Banach Center Publications (1997)

  • Volume: 41, Issue: 1, page 233-242
  • ISSN: 0137-6934

Abstract

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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 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.

How to cite

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Woolgar, E.. "Fastest curves and toroidal black holes." Banach Center Publications 41.1 (1997): 233-242. <http://eudml.org/doc/252220>.

@article{Woolgar1997,
abstract = {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.},
author = {Woolgar, E.},
journal = {Banach Center Publications},
keywords = {black hole horizons; spaces of complete causal curves; connectivity; active topological censorship; fastest curve arguments},
language = {eng},
number = {1},
pages = {233-242},
title = {Fastest curves and toroidal black holes},
url = {http://eudml.org/doc/252220},
volume = {41},
year = {1997},
}

TY - JOUR
AU - Woolgar, E.
TI - Fastest curves and toroidal black holes
JO - Banach Center Publications
PY - 1997
VL - 41
IS - 1
SP - 233
EP - 242
AB - 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.
LA - eng
KW - black hole horizons; spaces of complete causal curves; connectivity; active topological censorship; fastest curve arguments
UR - http://eudml.org/doc/252220
ER -

References

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  9. [9] R. Penrose, R. D. Sorkin, and E. Woolgar, in preparation. 
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  11. [11] R. D. Sorkin and E. Woolgar, A causal order for spacetimes with C 0 Lorentzian metrics: proof of compactness of the space of causal curves, Class. Quantum Gravit., to appear (1996) (cf. gr-qc/9508018). Zbl0966.83022
  12. [12] F. J. Tipler, Energy conditions and spacetime singularities, Phys. Rev. D17 (1978), 2521-2528; T. A. Roman, Quantum stress-energy tensors and the weak energy condition, Phys. Rev. D33 (1986), 3526-3533; On the 'averaged weak energy condition' and Penrose's singularity theorem, Phys. Rev. D 37 (1988), 546-548. 
  13. [13] G. J. Galloway and E. Woolgar, The cosmic censor forbids naked topology, Class. Quantum Gravit. 14 (1997), L1-L7. Zbl0868.53068

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