Uniqueness of static vacuum Einstein metrics and the Bartnik quasi-local mass

Details Uniqueness of static vacuum Einstein metrics and the Bartnik quasi-local mass Uniqueness of static vacuum Einstein metrics and the Bartnik quasi-local mass

2010-03-14

arxiv.org/abs/1003.2803v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

This article is withdrawn, and part of its content has been absorbed into the new version of arXiv:0909.4550

Scientific paper

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.

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