Critical Behaviour in Scalar Field Collapse

  • M. W. Choptuik
Part of the NATO ASI Series book series (NSSB, volume 332)


I present an account of the discovery of critical behaviour in spherically-symmetric general-relativistic collapse of a scalar field, φ. Using an adaptive mesh-refinement algorithm in conjunction with finite-difference techniques, I have studied the non-linear evolution of parameterized initial configurations φ(r, 0; p), where a critical parameter value, p = p*, generically demarcates the transition from spacetimes which do not contain a final black hole to spacetimes which do. The near critical regime, pp*, is characterized by a variety of non-linear phenomena including exponential sensitivity to initial conditions, scale-periodicity, and universal power-law dependence of black hole mass on parameter-space displacement |pp*|.


Black Hole Scalar Field Critical Behaviour Grid Function Black Hole Mass 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • M. W. Choptuik
    • 1
  1. 1.Center for Relativity, Dept. of PhysicsThe University of Texas at AustinAustinUSA

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