Uniqueness of static vacuum Einstein metrics and the Bartnik quasi-local mass
General Relativity and Quantum Cosmology
2011-03-08 v2 Differential Geometry
Abstract
We analyse the issue of uniqueness of solutions of the static vacuum Einstein equations with prescribed geometric or Bartnik boundary data. Large classes of examples are constructed where uniqueness fails. We then discuss the implications of this behavior for the Bartnik quasi-local mass. A variational characterization of Bartnik boundary data is also given.
Keywords
Cite
@article{arxiv.1003.2803,
title = {Uniqueness of static vacuum Einstein metrics and the Bartnik quasi-local mass},
author = {Michael T. Anderson and Marcus A. Khuri},
journal= {arXiv preprint arXiv:1003.2803},
year = {2011}
}
Comments
This article is withdrawn, and part of its content has been absorbed into the new version of arXiv:0909.4550