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

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

1999-02-12

arxiv.org/abs/gr-qc/9902041v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.61.124006

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.

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