English

On the total mass of asymptotically hyperbolic manifolds

General Relativity and Quantum Cosmology 2021-06-21 v2 Differential Geometry

Abstract

Generalising a proof by Bartnik in the asymptotically Euclidean case, we give an elementary proof of positivity of the hyperbolic mass near the hyperbolic space. It is a pleasure to dedicate this work to Robert Bartnik on the occasion of his 60th birthday.

Keywords

Cite

@article{arxiv.1812.03924,
  title  = {On the total mass of asymptotically hyperbolic manifolds},
  author = {Hamed Barzegar and Piotr T. Chruściel and Luc Nguyen},
  journal= {arXiv preprint arXiv:1812.03924},
  year   = {2021}
}