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

Abstract

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 $M\simeq |\alpha -{\alpha }_{\mathrm{crit}}{|}^{1/2}$. Based on the properties of the solution some comments are also made on conjectures of Choptuik.

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

Cited by in corpus (3)

• Critical phenomena in gravitational collapse (Physics Reports)
• Critical phenomena in gravitational collapse - Living Reviews
• An Analytic Model with Critical Behavior in Black Hole Formation