Exact Relativistic Two-Body Motion in Lineal Gravity
General Relativity and Quantum Cosmology
2016-08-31 v2 High Energy Physics - Theory
Abstract
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 obtain an explicit expression for their proper separation as a function of their mutual proper time. Our solution gives the exact Hamiltonian to infinite order in the gravitational coupling constant.
Cite
@article{arxiv.gr-qc/9811061,
title = {Exact Relativistic Two-Body Motion in Lineal Gravity},
author = {R. B. Mann and D. Robbins and T. Ohta},
journal= {arXiv preprint arXiv:gr-qc/9811061},
year = {2016}
}
Comments
latex, 11 pages, 2 figures, final version to appear in Phys. Rev. Lett