62 citations · 201 across the 8 of their papers we have counts for
8 papers
Analysis of Two-Particle Systems in 2 + 1 Gravity Through Hamiltonian Dynamics
Alexandre Yale, R. B. Mann, Tadayuki Ohta
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 dynamic…
Exact Charged 2-Body Motion and the Static Balance Condition in Lineal Gravity
R. B. Mann, T. Ohta
We find an exact solution to the charged 2-body problem in dimensional lineal gravity which provides the first example of a relativistic system that generalizes the Majumda…
Exact Solutions to the Motion of Two Charged Particles in Lineal Gravity
R. B. Mann, D. Robbins, T. Ohta +1
We extend the canonical formalism for the motion of -particles in lineal gravity to include charges. Under suitable coordinate conditions and boundary conditions the determining…
Exact Solutions of Relativistic Two-Body Motion in Lineal Gravity
R. B. Mann, D. Robbins, T. Ohta
We develop the canonical formalism for a system of bodies in lineal gravity and obtain exact solutions to the equations of motion for N=2. The determining equation of the Hamil…
Exact Relativistic Two-Body Motion in Lineal Gravity
R. B. Mann, D. Robbins, T. Ohta
We consider the N-body problem in (1+1) dimensional lineal gravity. For 2 point masses (N=2) we obtain an exact solution for the relativistic motion. In the equal mass case we obta…
Exact Solution for the Metric and the Motion of Two Bodies in (1+1) Dimensional Gravity
R. B. Mann, T. Ohta
We present the exact solution of two-body motion in (1+1) dimensional dilaton gravity by solving the constraint equations in the canonical formalism. The determining equation of th…
Exact Solution for Relativistic Two-Body Motion in Dilaton Gravity
R. B. Mann, T. Ohta
We present an exact solution to the problem of the relativistic motion of 2 point masses in dimensional dilaton gravity. The motion of the bodies is governed entirely by th…
Canonical reduction of two-dimensional gravity for Particle Dynamics
T. Ohta, R. B. Mann
We develop the formalism for canonical reduction of --dimensional gravity coupled with a set of point particles by eliminating constraints and imposing coordinate conditions…