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Quasi-local mass on unit spheres at spatial infinity | | Po-Ning Chen
; Mu-Tao Wang
; Ye-Kai Wang
; Shing-Tung Yau
; | | Date: |
21 Jan 2019 | | Abstract: | In this note, we compute the limit of the Wang-Yau quasi-local mass on unit
spheres at spatial infinity of an asymptotically flat initial data set. Similar
to the small sphere limit of the Wang-Yau quasi-local mass, we prove that the
leading order term of the quasi-local mass recovers the stress-energy tensor.
For a vacuum spacetime, the quasi-local mass decays faster and the leading
order term is related to the Bel-Robinson tensor. Several new techniques of
evaluating quasilocal mass are developed in this note. | | Source: | arXiv, 1901.6954 | | Services: | Forum | Review | PDF | Favorites | |
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