Analysis of Two-Particle Systems in 2 + 1 Gravity Through Hamiltonian Dynamics
General Relativity and Quantum Cosmology
2010-12-01 v2
Abstract
We study the dynamics of particles coupled to gravity in (2 + 1) dimensions. Using the ADM formalism, we derive the general Hamiltonian for an N-body system and analyze the dynamics of a two-particle system. Non-linear terms are found up to second-order order in {\kappa} in the general case, and to every order in the quasi-static limit.
Cite
@article{arxiv.1010.4568,
title = {Analysis of Two-Particle Systems in 2 + 1 Gravity Through Hamiltonian Dynamics},
author = {Alexandre Yale and R. B. Mann and Tadayuki Ohta},
journal= {arXiv preprint arXiv:1010.4568},
year = {2010}
}
Comments
8 pages, no figures. v2: Minor corrections; Journal ref added