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