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arxiv: gr-qc/0008060 · v2 · submitted 2000-08-24 · 🌀 gr-qc · hep-th· physics.comp-ph

Scalar field collapse in three-dimensional AdS spacetime

classification 🌀 gr-qc hep-thphysics.comp-ph
keywords pulsescalaramplitudecollapsefieldspacetimeaccordingapparent
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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 $A$ is greater than a critical value $A_*$. Sufficiently near criticality the apparent horizon radius $r_{AH}$ grows with pulse amplitude according to the formula $r_{AH} \sim (A-A_*)^{0.81}$.

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