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Evaluating Quasi-local Angular Momentum and Center-of-Mass at Null Infinity | | Jordan Keller
; Ye-Kai Wang
; Shing-Tung Yau
; | | Date: |
6 Nov 2018 | | Abstract: | We calculate the limits of the quasi-local angular momentum and
center-of-mass defined by Chen-Wang-Yau cite{CWY} for a family of spacelike
two-spheres approaching future null infinity in an asymptotically flat
spacetime admitting a Bondi-Sachs expansion. Our result complements earlier
work of Chen-Wang-Yau cite{CWY2}, where the authors calculate the limits of
the quasi-local energy and linear momentum at null infinity. Finiteness of the
center-of-mass limit requires that the spacetime be in the so-called
center-of-mass frame, a mild assumption on the mass aspect function amounting
to vanishing of linear momentum at null infinity. With this condition and the
assumption that the Bondi mass is non-trivial, we obtain explicit expressions
for the angular momentum and center-of-mass at future null infinity in terms of
the observables appearing in the Bondi-Sachs expansion of the spacetime metric. | | Source: | arXiv, 1811.2383 | | Services: | Forum | Review | PDF | Favorites | |
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