Positivity of the Bondi mass in Bondi's radiating spacetimes

  • Shing-Tung Yau

    Harvard University, Cambridge, United States
  • Wen-ling Huang

    Universität Hamburg, Germany
  • Xiao Zhang

    The Chinese Academy of Sciences, Beijing, China

Abstract

We find two conditions related to the 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.

Cite this article

Shing-Tung Yau, Wen-ling Huang, Xiao Zhang, Positivity of the Bondi mass in Bondi's radiating spacetimes. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. 17 (2006), no. 4, pp. 335–349

DOI 10.4171/RLM/472