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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 is greater than a critical value . Sufficiently near criticality the apparent horizon radius grows with pulse amplitude according to the formula $r_{AH} \sim (A-A_*)^{0.81}$.

生成讲解博客的中文版本

生成AI智能校验的中文版本