Scalar field collapse in three-dimensional AdS spacetime

Abstract
We describe the results of a numerical calculation of circularly symmetric scalar field collapse in three spacetime dimensions with a 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 rAH grows with pulse amplitude according to the formula rAH~(A-A*)0.81.

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