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arXiv · hep-th/9511207

Solving The N-Body Problem in (2+1)-Gravity

A. Bellini·M. Ciafaloni·P. Valtancoli
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Abstract

We construct a non-perturbative, single-valued solution for the metric and the motion of $N$ interacting particles in $2+1$-Gravity. The solution is explicit for two particles with any speed and for any number of particles with small speed. It is based on a mapping from multivalued Minkowskian coordinates to single-valued ones, which solves the non-abelian monodromies due to particles' momenta. The two and three-body cases are treated in detail.

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A. Bellini, M. Ciafaloni, P. Valtancoli. 1995-11-29. Solving The N-Body Problem in (2+1)-Gravity. https://doi.org/10.1016/0550-3213(96)00031-4

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