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Hoop Conjecture in Five-dimensios -Violation of Cosmic Censorship-

Chul-Moon Yoo·Ken-ichi Nakao·Daisuke Ida
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Abstract

We study the condition of black hole formation in five-dimensional space-time. We analytically solve the constraint equations of five-dimensional Einstein equations for momentarily static and conformally flat initial data of a spheroidal mass. We numerically search for an apparent horizon in various initial hypersurfaces and find both necessary and sufficient conditions for the horizon formation in terms of inequalities relating a geometric quantity and a mass defined in an appropriate manner. In the case of infinitely thin spheroid, our results suggest a possibility of naked singularity formation by the spindle gravitational collapse in five-dimensional space-time.

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Chul-Moon Yoo, Ken-ichi Nakao, Daisuke Ida. 2005-05-13. Hoop Conjecture in Five-dimensios -Violation of Cosmic Censorship-. https://doi.org/10.1103/physrevd.71.104014

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