Critical collapse of collisionless matter - a numerical investigation

Details Critical collapse of collisionless matter - a numerical investigation Critical collapse of collisionless matter - a numerical investigation

1998-04-17

arxiv.org/abs/gr-qc/9804040v1

Phys.Rev. D58 (1998) 044007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, LaTeX, 7 figures (ps-files, automatically included using psfig)

Scientific paper

10.1103/PhysRevD.58.044007

In recent years the threshold of black hole formation in spherically symmetric gravitational collapse has been studied for a variety of matter models. In this paper the corresponding issue is investigated for a matter model significantly different from those considered so far in this context. We study the transition from dispersion to black hole formation in the collapse of collisionless matter when the initial data is scaled. This is done by means of a numerical code similar to those commonly used in plasma physics. The result is that for the initial data for which the solutions were computed, most of the matter falls into the black hole whenever a black hole is formed. This results in a discontinuity in the mass of the black hole at the onset of black hole formation.

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