Gravitational collapse in (2+1)-dimensional AdS space-time

Jul, 2000
31 pages
Published in:
  • Phys.Rev.D 62 (2000) 124012
e-Print:

Citations per year

20002006201220182024024681012
Abstract: (arXiv)
We present results of numerical simulations of the formation of black holes from the gravitational collapse of a massless, minimally-coupled scalar field in 2+1 dimensional, axially-symmetric, anti de-Sitter (AdS) spacetime. The geometry exterior to the event horizon approaches the BTZ solution, showing no evidence of scalar `hair'. To study the interior structure we implement a variant of black-hole excision, which we call singularity excision. We find that interior to the event horizon a strong, spacelike curvature singularity develops. We study the critical behavior at the threshold of black hole formation, and find a continuously self-similar solution and corresponding mass-scaling exponent of approximately 1.2. The critical solution is universal to within a phase that is related to the angle deficit of the spacetime.
  • field theory: scalar
  • coupling: minimal
  • black hole: production
  • space-time: anti-de Sitter
  • symmetry: axial
  • dimension: 3
  • space-time: horizon
  • space-time: singularity
  • critical phenomena
  • mass: scaling
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