Analysis of Two-Particle Systems in 2 + 1 Gravity Through Hamiltonian Dynamics
arXiv:1010.4568 · doi:10.1088/0264-9381/27/24/245005
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 κ in the general case, and to every order in the quasi-static limit.
8 pages, no figures. v2: Minor corrections; Journal ref added
References in corpus (16)
- The Black Hole in Three Dimensional Space Time
- Geometry of the 2+1 Black Hole
- The (2+1)-Dimensional Black Hole
- Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
- Black Hole Creation in 2+1 Dimensions
- Exact Solution for the Metric and the Motion of Two Bodies in (1+1) Dimensional Gravity
- Solving The N-Body Problem in (2+1)-Gravity
- Exact Relativistic Two-Body Motion in Lineal Gravity
- Canonical reduction of two-dimensional gravity for Particle Dynamics
- Exact Solution for Relativistic Two-Body Motion in Dilaton Gravity
- Non-Perturbative Particle Dynamics
- Exact Solutions to the Motion of Two Charged Particles in Lineal Gravity
- Exact Charged 2-Body Motion and the Static Balance Condition in Lineal Gravity
- Dynamical N-body Equlibrium in Circular Dilaton Gravity
- Particles on a Circle in Canonical Lineal Gravity
- Dynamical Charged N-body Equilibrium in Circular Dilaton Gravity