English

Positive mass theorems for asymptotically AdS spacetimes with arbitrary cosmological constant

Differential Geometry 2008-11-26 v2 General Relativity and Quantum Cosmology

Abstract

We formulate and prove the Lorentzian version of the positive mass theorems with arbitrary negative cosmological constant for asymptotically AdS spacetimes. This work is the continuation of the second author's recent work on the positive mass theorem on asymptotically hyperbolic 3-manifolds.

Keywords

Cite

@article{arxiv.math/0702042,
  title  = {Positive mass theorems for asymptotically AdS spacetimes with arbitrary cosmological constant},
  author = {Naqing Xie and Xiao Zhang},
  journal= {arXiv preprint arXiv:math/0702042},
  year   = {2008}
}

Comments

17 pages, final version, to appear in International Journal of Mathematics

R2 v1 2026-07-22T17:50:21.658Z