Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-08-24
Class.Quant.Grav.18:L1-L10,2001
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, 1 figure; references added, to appear in CQG(L)
Scientific paper
10.1088/0264-9381/18/2/101
We describe results of a numerical calculation of circularly symmetric scalar field collapse in three spacetime dimensions with negative cosmological constant. The procedure uses a double null formulation of the Einstein-scalar equations. We see evidence of black hole formation on first implosion of a scalar pulse if the initial pulse amplitude $A$ is greater than a critical value $A_*$. Sufficiently near criticality the apparent horizon radius $r_{AH}$ grows with pulse amplitude according to the formula $r_{AH} \sim (A-A_*)^{0.81}$.
Husain Viqar
Olivier Michel
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