The Positive Mass Theorem near null infinity

Xiao Zhang

The Positive Mass Theorem near null infinity

微分几何 2007-05-23 v2 广义相对论与量子宇宙学

作者: Xiao Zhang

摘要

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.

关键词

general relativity

引用

@article{arxiv.math/0604154,
  title  = {The Positive Mass Theorem near null infinity},
  author = {Xiao Zhang},
  journal= {arXiv preprint arXiv:math/0604154},
  year   = {2007}
}

备注

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

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