Hoop conjecture in five dimensions: Violation of cosmic censorship

Department of Physics, Gakushuin University, 171-8588, Tokyo, Japan
Physical Review D (Impact Factor: 4.64). 04/2005; 71(10). DOI: 10.1103/PhysRevD.71.104014
Source: arXiv


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 numer-ically 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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