Analytical treatment of critical collapse in 2+1 dimensional AdS spacetime
Year: 2001
Type: preprint
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 all the physical properties one expects for a 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 $\\gamma = 4/5$.
Source: arXiv (Cornell University)
Authors: Gérard Clément, Alessandro Fabbri
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2552866674