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

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

2001-01-17

arxiv.org/abs/gr-qc/0101073v2

Class.Quant.Grav. 18 (2001) 3665-3680

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

22 pages, 6 figures. Major changes in the discussions of Sects. 2 and 5. The value of the critical exponent has been revised t

Scientific paper

10.1088/0264-9381/18/17/318

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 $\gamma = 2/5$.

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