Choptuik Scaling and Quantum Effects in 2D Dilaton Gravity

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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11p RevTex version + 12p uuencoded gzip version including 3 figures

Scientific paper

10.1103/PhysRevD.55.4525

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.

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