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Analytical treatment of critical collapse in 2+1 dimensional AdS spacetime: a toy model
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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 $\Lambda=0$ case. Linear perturbations on this background lead to approximate black hole solutions. The critical exponent is found to be $\gamma = 2/5$.
Forward citations
Cited by 2 Pith papers
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Unveiling horizons in quantum critical collapse
Semiclassical quantum corrections in critical collapse yield a finite mass gap and transition from classical Type II to quantum Type I behavior, providing a quantum enforcement of weak cosmic censorship.
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Critical Phenomena in Gravitational Collapse
An authoritative review of critical collapse, updated with results on nonspherical vacuum collapse and rigorous PDE blowup.
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