Critical behavior and scaling in vacuum axisymmetric gravitational collapse

1993
4 pages
Published in:
  • Phys.Rev.Lett. 70 (1993) 2980-2983

Citations per year

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Abstract: (APS)
We report a second example of critical behavior in gravitational collapse. Collapse of axisymmetric gravitational wave packets is computed numerically for a one-parameter family of initial data. A black hole first appears along the sequence at a critical parameter value p*. As with spherical scalar-field collapse, a power law is found to relate black-hole mass (the order parameter) and critical separation: MBH∝‖p-p*‖β. The critical exponent is β≃0.37, remarkably close to that observed by Choptuik. Near-critical evolutions produce echoes from the strong-field region which appear to exhibit scaling.
  • gravitational radiation
  • general relativity
  • symmetry: axial
  • critical phenomena
  • black hole: mass
  • mass: black hole
  • space-time
  • field equations: solution
  • constraint
  • numerical calculations