Naked singularity formation in the collapse of a spherical cloud of counterrotating particles

Details Naked singularity formation in the collapse of a spherical cloud of counterrotating particles Naked singularity formation in the collapse of a spherical cloud of counterrotating particles

1998-05-19

arxiv.org/abs/gr-qc/9805071v3

Phys.Rev.D58:041502,1998

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, Accepted for Publication as a Rapid Communication in Physical Review D, Some Minor Corrections

Scientific paper

10.1103/PhysRevD.58.041502

We investigate collapse of a spherical cloud of counter-rotating particles. An explicit solution is given using an elliptic integral. If the specific angular momentum $L(r)=O(r^2)$ at $r\to 0$, no central singularity occurs. With $L(r)$ like that, there is a finite region around the center that bounces. On the other hand, if the order of $L(r)$ is higher than that, a central singularity occurs. In marginally bound collapse with $L(r)=4F(r)$, a naked singularity occurs, where $F(r)$ is the Misner-Sharp mass. The solution for this case is expressed by elementary functions. For $ 4

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