The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting
Differential Geometry
2022-02-16 v2 General Relativity and Quantum Cosmology
Analysis of PDEs
Abstract
We solve the Jang equation with respect to asymptotically hyperbolic "hyperboloidal" initial data. The results are applied to give a non-spinor proof of the positive mass theorem in the asymptotically hyperbolic setting. This work focuses on the case when the spatial dimension is equal to three.
Keywords
Cite
@article{arxiv.2003.07762,
title = {The Jang equation and the positive mass theorem in the asymptotically hyperbolic setting},
author = {Anna Sakovich},
journal= {arXiv preprint arXiv:2003.07762},
year = {2022}
}
Comments
68 pages. Accepted by Commun. Math. Phys