The stationary n-body problem in general relativity
General Relativity and Quantum Cosmology
2012-09-17 v1
Abstract
In this talk I describe recent joint works with R.Schoen and with G.Gibbons and R.Schoen which prove the non-existence of certain asymptotically flat, stationary solutions of the Einstein equations with more than one body. The basic restriction is for example satisfied when spacetime has an isometry reversing the sign of the timelike Killing vector and fixing a hypersurface in the space of Killing trajectories which is disjoint from the bodies. I also give a detailed treatment of the Newtonian situation.
Keywords
Cite
@article{arxiv.1004.4073,
title = {The stationary n-body problem in general relativity},
author = {Robert Beig},
journal= {arXiv preprint arXiv:1004.4073},
year = {2012}
}
Comments
Talk at 'Complex Analysis & Dynamical Systems IV' held on May 18-22, 2009, in Nahariya, Israel. Accepted for publication in Contemporary Mathematics