Positivity of the Bondi mass in Bondi's radiating spacetimes
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.
- Publication:
-
Rendiconti Lincei. Scienze Fisiche e Naturali
- Pub Date:
- December 2006
- DOI:
- arXiv:
- arXiv:math/0604155
- Bibcode:
- 2006RLSFN..17..335Y
- Keywords:
-
- Mathematics - Differential Geometry;
- General Relativity and Quantum Cosmology;
- 53C50;
- 83C35
- E-Print:
- 18 pages, final version. Rendiconti Lincei - Matematica E Applicazioni, to appear in 2006