Quasi-local mass at the null infinity of the Vaidya spacetime

Mu-Tao Wang Columbia University Po-Ning Chen University of California, Riverside Shing-Tung Yau Harvard University

Geometric Analysis and Geometric Topology Mathematical Physics Publications of CMSA of Harvard Theoretical Physics mathscidoc:1804.15001

Harv. Univ. Cent. Math. Sci. Appl. Ser. Math., 1, 33-48
There are two important statements regarding the Trautman-Bondi mass at null infinity: one is the positivity, and the other is the Bondi mass loss formula, which are both global in nature. The positivity of the quasi-local mass can potentially lead to a local description at null infinity. This is confirmed for the Vaidya spacetime in this note. We study the Wang-Yau quasi-local mass on surfaces of fixed size at the null infinity of the Vaidya spacetime. The optimal embedding equation is solved explicitly and the quasi-local mass is evaluated in terms of the mass aspect function of the Vaidya spacetime.
quasi-local mass, Trautman-Bondi mass
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  • arXiv:1608.06165
@inproceedings{mu-taoquasi-local,
  title={Quasi-local mass at the null infinity of the Vaidya spacetime},
  author={Mu-Tao Wang, Po-Ning Chen, and Shing-Tung Yau},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180430141608879182079},
  booktitle={Harv. Univ. Cent. Math. Sci. Appl. Ser. Math.},
  volume={1},
  pages={33-48},
}
Mu-Tao Wang, Po-Ning Chen, and Shing-Tung Yau. Quasi-local mass at the null infinity of the Vaidya spacetime. Vol. 1. In Harv. Univ. Cent. Math. Sci. Appl. Ser. Math.. pp.33-48. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20180430141608879182079.
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