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Does scalar field collapse produce `zero mass' black holes?

Patrick R. Brady
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Abstract

An exact one parameter ($α$) family of solutions representing scalar field collapse is presented. These solutions 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) I show that a quantity related to the mass of the black hole exhibits a power law dependence on $α$, for near critical evolution $M \simeq |α-α_{\rm crit}|^{1/2}$. Based on the properties of the solution some comments are also made on conjectures of Choptuik.

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Patrick R. Brady. 1994-02-10. Does scalar field collapse produce `zero mass' black holes?. https://arxiv.org/abs/gr-qc/9402023

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