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Gravitational collapse in 2+1 dimensional AdS spacetime

Frans Pretorius·Matthew W. Choptuik
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Abstract

We present results of numerical simulations of the formation of black holes from the gravitational collapse of a massless, minimally-coupled scalar field in 2+1 dimensional, axially-symmetric, anti de-Sitter (AdS) spacetime. The geometry exterior to the event horizon approaches the BTZ solution, showing no evidence of scalar `hair'. To study the interior structure we implement a variant of black-hole excision, which we call singularity excision. We find that interior to the event horizon a strong, spacelike curvature singularity develops. We study the critical behavior at the threshold of black hole formation, and find a continuously self-similar solution and corresponding mass-scaling exponent of approximately 1.2. The critical solution is universal to within a phase that is related to the angle deficit of the spacetime.

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Frans Pretorius, Matthew W. Choptuik. 2000-11-06. Gravitational collapse in 2+1 dimensional AdS spacetime. https://doi.org/10.1103/physrevd.62.124012

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