The Positive Mass Theorem near null infinity

Details The Positive Mass Theorem near null infinity The Positive Mass Theorem near null infinity

2006-04-07

arxiv.org/abs/math/0604154v2

Mathematics

Differential Geometry

10 pages, Invited talk at ICCM 2004, December 17-22, Hong Kong

Scientific paper

In this short paper, we review recent progress on the positive mass theorem
for spacelike hypersurfaces which approach to null infinity in asymptotically
flat spacetimes. We use it to prove, if the functions $c(u, \theta, \psi)$,
$d(u, \theta, \psi)$ vanish at certain retarded time in vacuum Bondi's
radiating spacetimes, then the Bondi mass is nonnegative up to that time.

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