On mass-minimizing extensions of Bartnik boundary data
Differential Geometry
2021-04-06 v2 General Relativity and Quantum Cosmology
Analysis of PDEs
Abstract
We prove that the space of initial data sets which have fixed Bartnik boundary data and solve the constraint equations is a Banach manifold. Moreover, on this constraint manifold the critical points of the ADM mass are exactly the initial data sets which admit generalised Killing vector fields with asymptotic limit proportional to the ADM energy-momentum vector.
Cite
@article{arxiv.2007.05452,
title = {On mass-minimizing extensions of Bartnik boundary data},
author = {Zhongshan An},
journal= {arXiv preprint arXiv:2007.05452},
year = {2021}
}
Comments
30 pages