Classical and quantum scattering of maximally charged dilaton black holes

Abstract

The classical and the quantum scattering of two maximally-charged dilaton black holes which have low velocities are studied. We find a critical value for the dilaton coupling, $a^2=1/3$. For $a^2>1/3$, two black holes are always scattered away and never coalesce together, regardless of the value of the impact parameter.

arXiv comment18 pages, 6 figures

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