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The Bartnik quasi-local mass conjectures (2308.01202v1)
Published 2 Aug 2023 in math.DG and gr-qc
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.
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