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

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

1994-02-10

arxiv.org/abs/gr-qc/9402023v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages (3 figures available on request), RevTex, NCL93-TP17

Scientific paper

An exact one parameter ($\alpha$) 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 $\alpha$, for near critical evolution $M \simeq |\alpha-\alpha_{\rm crit}|^{1/2}$. Based on the properties of the solution some comments are also made on conjectures of Choptuik.

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