JournalsrlmVol. 17 , No. 4DOI 10.4171/rlm/472

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
Positivity of the Bondi mass in Bondi's radiating spacetimes cover

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.