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

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

2005-03-02

arxiv.org/abs/gr-qc/0503008v2

Phys.Rev. D71 (2005) 104014

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages, 7 figures, PRD accepted version

Scientific paper

10.1103/PhysRevD.71.104014

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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