Analysis of Two-Particle Systems in 2 + 1 Gravity Through Hamiltonian Dynamics

Details Analysis of Two-Particle Systems in 2 + 1 Gravity Through Hamiltonian Dynamics Analysis of Two-Particle Systems in 2 + 1 Gravity Through Hamiltonian Dynamics

2010-10-21

arxiv.org/abs/1010.4568v2

Class.Quant.Grav.27:245005,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, no figures. v2: Minor corrections; Journal ref added

Scientific paper

10.1088/0264-9381/27/24/245005

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.

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