We study the interaction of maximally-charged dilatonic black holes at low velocity. We compute the metric on moduli space for three extreme black holes under a simple constraint. The Hamiltonian of the multi-black hole system of O(v2) is also calculated for the a=1 and a=1/3 cases, where a is the dilaton coupling constant. The behavior of the system is discussed qualitatively.
@article{arxiv.gr-qc/9507029,
title = {Many-body systems in Einstein-Maxwell-Dilaton theory},
author = {Kiyoshi Shiraishi},
journal= {arXiv preprint arXiv:gr-qc/9507029},
year = {2020}
}