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Analytical treatment of critical collapse in 2+1 dimensional AdS spacetime: a toy model

Gerard Clement·Alessandro Fabbri
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Abstract

We present an exact collapsing solution to 2+1 gravity with a negative cosmological constant minimally coupled to a massless scalar field, which exhibits physical properties making it a candidate critical solution. We discuss its global causal structure and its symmetries in relation with those of the corresponding continously self-similar solution derived in the $Λ=0$ case. Linear perturbations on this background lead to approximate black hole solutions. The critical exponent is found to be $γ= 2/5$.

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Gerard Clement, Alessandro Fabbri. 2001-05-04. Analytical treatment of critical collapse in 2+1 dimensional AdS spacetime: a toy model. https://doi.org/10.1088/0264-9381%2F18%2F17%2F318

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