Analytic example of critical behaviour in scalar field collapse

1994
6 pages
Published in:
  • Class.Quant.Grav. 11 (1994) 5, 1255-1260

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Abstract: (IOP)
An exact one parameter () family of solutions representing scalar field collapse is shown to exhibit a type of critical behaviour which has been discussed by Choptuik. The three possible evolutions are outlined. For supercritical evolution (when black holes form) it is shown that a quantity related to the mass of the black hole exhibits a power law dependence on, for near critical evolution. The solution supports the conjecture that black hole formation initially occurs at infinitesimal mass.
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