English

Positivity of the Bondi mass in Bondi's radiating spacetimes

Differential Geometry 2009-12-12 v2 General Relativity and Quantum Cosmology

Abstract

We find two conditions related to the {\it news functions} of the Bondi's radiating vacuum spacetimes. We provide a complete proof of the positivity of the Bondi mass by using Schoen-Yau's method under one condition and by using Witten's method under another condition.

Keywords

Cite

@article{arxiv.math/0604155,
  title  = {Positivity of the Bondi mass in Bondi's radiating spacetimes},
  author = {Wen-ling Huang and Shing Tung Yau and Xiao Zhang},
  journal= {arXiv preprint arXiv:math/0604155},
  year   = {2009}
}

Comments

18 pages, final version. Rendiconti Lincei - Matematica E Applicazioni, to appear in 2006