English

Static vacuum Einstein metrics on bounded domains

Differential Geometry 2013-05-08 v1 General Relativity and Quantum Cosmology

Abstract

We study the existence and uniqueness of solutions to the static vacuum Einstein equations in bounded domains, satisfying the Bartnik boundary conditions of prescribed metric and mean curvature on the boundary.

Keywords

Cite

@article{arxiv.1305.1540,
  title  = {Static vacuum Einstein metrics on bounded domains},
  author = {Michael T Anderson},
  journal= {arXiv preprint arXiv:1305.1540},
  year   = {2013}
}

Comments

30pp

R2 v1 2026-06-22T00:12:52.472Z