The Positive Mass Theorem near null infinity

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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 $c(u, θ, ψ)$, $d(u, θ, ψ)$ vanish at certain retarded time in vacuum Bondi's radiating spacetimes, then the Bondi mass is nonnegative up to that time.
10 pages, Invited talk at ICCM 2004, December 17-22, Hong Kong

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Differential Geometry, General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/111477

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0604154
 http://arxiv.org/abs/math/0604154

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arXiv