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Choptuik Scaling and Quantum Effects in 2D Dilaton Gravity

Yoav Peleg·Sukanta Bose·Leonard Parker
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Abstract

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 $M_{\rm bh} \propto |p-p^*|^γ$, where $γ\simeq 0.53$. 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.

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Yoav Peleg, Sukanta Bose, Leonard Parker. 1996-08-16. Choptuik Scaling and Quantum Effects in 2D Dilaton Gravity. https://doi.org/10.1103/physrevd.55.4525

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