Positivity of the Bondi mass in Bondi's radiating spacetimes

Mathematics – Differential Geometry

Scientific paper

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

Scientific paper

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.

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