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arXiv · 1309.1629

Critical scalar field collapse in AdS_3: an analytic approach

Rudolf Baier·Stefan Stricker·Olli Taanila
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Abstract

We present an analytical solution of a massless scalar field collapsing in a three dimensional space-time with a negative cosmological constant, i.e. asymptotically AdS_3. The Einstein and scalar field equations are formulated using double null Poincare coordinates. Trapping horizons form when a critical parameter is p > 1. There are indications that the horizon radius r_AH scales like r_AH ~ (p-1)^(1/4) and the black hole mass as M ~ r_AH^2 ~ (p-1)^(1/2), i.e. with a critical mass exponent of 1/2.

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Rudolf Baier, Stefan Stricker, Olli Taanila. 2013-09-06. Critical scalar field collapse in AdS_3: an analytic approach. https://doi.org/10.1088/0264-9381%2F31%2F2%2F025007

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