Black holes vs. naked singularities formation in collapsing Einstein's clusters

Abstract

Non-static, spherically symmetric clusters of counter-rotating particles, of the type first introduced by Einstein, are analysed here. The initial data space can be parameterized in terms of three arbitrary functions, namely; initial density, velocity and angular momentum profiles. The final state of collapse, black hole or naked singularity, turns out to depend on the order of the first non-vanishing derivatives of such functions at the centre. The work extends recent results by Harada, Iguchi and Nakao.

13 pages, LaTeX format. To appear in Physical Review D

References in corpus (4)

• Initial data and the end state of spherically symmetric gravitational collapse
• Final fate of the spherically symmetric collapse of a perfect fluid
• Critical collapse of collisionless matter - a numerical investigation
• Naked singularity formation in the collapse of a spherical cloud of counterrotating particles

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