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arXiv · 0907.2570

Black Objects and Hoop Conjecture in Five-dimensional Space-time

Yuta Yamada·Hisa-aki Shinkai
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Abstract

We numerically investigated the sequences of initial data of thin spindle and thin ring in five-dimensional space-time in the context of the cosmic censorship conjecture. We modeled the matter in non-rotating homogeneous spheroidal or toroidal configurations under the momentarily static assumption, solved the Hamiltonian constraint equation, and searched the apparent horizons. We discussed when $S^3$ (black hole) or $S^1 \times S^2$ (black ring) horizons ("black objects") are formed. By monitoring the location of the maximum Kretchmann invariant, an appearance of `naked singularity' or `naked ring' under special situation is suggested. We also discuss the validity of the {\it hyper-hoop} conjecture using minimum {\it area} around the object, and show that the appearance of the ring horizon does not match with this hoop.

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Yuta Yamada, Hisa-aki Shinkai. 2010-01-14. Black Objects and Hoop Conjecture in Five-dimensional Space-time. https://doi.org/10.1088/0264-9381%2F27%2F4%2F045012

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