English

The Bartnik quasi-local mass conjectures

Differential Geometry 2023-08-04 v1 General Relativity and Quantum Cosmology

Abstract

This paper is a tribute to Robert Bartnik and his work and conjectures on quasi-local mass. We present a framework in which to clearly analyse Bartnik's static vacuum extension conjecture. While we prove that this conjecture is not true in general, it remains a fundamental open problem to understand the realm of its validity.

Cite

@article{arxiv.2308.01202,
  title  = {The Bartnik quasi-local mass conjectures},
  author = {Michael T. Anderson},
  journal= {arXiv preprint arXiv:2308.01202},
  year   = {2023}
}

Comments

32 pages

R2 v1 2026-06-28T11:46:31.387Z