Dynamical N-body Equlibrium in Circular Dilaton Gravity
General Relativity and Quantum Cosmology
2017-08-23 v2
Abstract
We obtain a new exact equilibrium solution to the N-body problem in a one-dimensional relativistic self-gravitating system. It corresponds to an expanding/contracting spacetime of a circle with N bodies at equal proper separations from one another around the circle. Our methods are straightforwardly generalizable to other dilatonic theories of gravity, and provide a new class of solutions to further the study of (relativistic) one-dimensional self-gravitating systems.
Cite
@article{arxiv.gr-qc/0206029,
title = {Dynamical N-body Equlibrium in Circular Dilaton Gravity},
author = {R. Kerner and R. B. Mann},
journal= {arXiv preprint arXiv:gr-qc/0206029},
year = {2017}
}
Comments
4 pages, latex, reference added, minor changes in wording