Analytical solutions for black-hole critical behaviour

Details Analytical solutions for black-hole critical behaviour Analytical solutions for black-hole critical behaviour

2007-07-20

arxiv.org/abs/0707.3000v2

Gen.Rel.Grav.39:1847-1854,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

4 pages, 3 figures, accepted for publication in General Relativity and Gravitation, typos corrected

Scientific paper

10.1007/s10714-007-0493-4

Dynamical Einstein cluster is a spherical self-gravitating system of counterrotating particles, which may expand, oscillate and collapse. This system exhibits critical behaviour in its collapse at the threshold of black hole formation. It appears when the specific angular momentum of particles is tuned finely to the critical value. We find the unique exact self-similar solution at the threshold. This solution begins with a regular surface, involves timelike naked singularity formation and asymptotically approaches a static self-similar cluster.

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