Analytical treatment of critical collapse in (2+1)-dimensional AdS space-time

Jan, 2001
22 pages
Published in:
  • Class.Quant.Grav. 18 (2001) 3665-3680
e-Print:

Citations per year

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Abstract: (arXiv)
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\Lambda=0 case. Linear perturbations on this background lead to approximate black hole solutions. The critical exponent is found to be γ=2/5\gamma = 2/5.
  • space-time: anti-de Sitter
  • dimension: 3
  • gravitation
  • field theory: scalar
  • coupling: minimal
  • causality
  • black hole
  • perturbation: linear
  • critical phenomena
  • numerical calculations