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Scalar field collapse in three-dimensional AdS spacetime

Viqar Husain·Michel Olivier
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Abstract

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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Viqar Husain, Michel Olivier. 2000-12-11. Scalar field collapse in three-dimensional AdS spacetime. https://doi.org/10.1088/0264-9381%2F18%2F2%2F101

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