Choptuik scaling and quantum effects in 2-d dilaton gravity

We study numerically the collapse of massless scalar fields in two-dimensional dilaton gravity, both classically and semiclassically. At the classical level, we find that the black hole mass scales at threshold like

M_{\rm bh} \propto |p-p~*|~{\gamma}

, where

\gamma \simeq 0.53

. At the semiclassical level, we find that in general

M_{\rm bh}

approaches a non-zero constant as

p \rightarrow p~*

. Thus, quantum effects produce a mass gap not present classically at the onset of black hole formation.

quantum gravity: dilaton
dimension: 2
field theory: scalar
field theory: massless
field theory: classical
approximation: semiclassical
black hole: mass
scaling
quantization: effect
numerical calculations

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