Solving The N-Body Problem in (2+1)-Gravity
High Energy Physics - Theory
2009-10-28 v1
Abstract
We construct a non-perturbative, single-valued solution for the metric and the motion of interacting particles in -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.
Keywords
Cite
@article{arxiv.hep-th/9511207,
title = {Solving The N-Body Problem in (2+1)-Gravity},
author = {A. Bellini and M. Ciafaloni and P. Valtancoli},
journal= {arXiv preprint arXiv:hep-th/9511207},
year = {2009}
}
Comments
43 pages, LaTeX, ( figures are not included )