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Analytical approach to critical scalar field collapse in three dimensions

Gerard Clement·Alessandro Fabbri
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Abstract

In the quest of the critical solution for scalar field collapse in 2+1 gravity with a negative cosmological constant, we present a one parameter family of solutions with continuous self similar (CSS) behaviour near the central singularity. We also discuss linear perturbations on this background, leading to black hole formation, and determine the critical exponent.

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Gerard Clement, Alessandro Fabbri. 2001-09-04. Analytical approach to critical scalar field collapse in three dimensions. https://arxiv.org/abs/gr-qc/0109009

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