JournalsrlmVol. 17, No. 4pp. 335–349

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
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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.

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