Evaluating quasi-local angular momentum and center-of-mass at null infinity

Jordan Keller, Ye Kai Wang, Shing Tung Yau

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

We calculate the limits of the quasi-local angular momentum and center-of-mass defined by Chen-Wang-Yau [11] 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 [12], 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.

Original languageEnglish
Pages (from-to)1423-1473
Number of pages51
JournalAdvances in Theoretical and Mathematical Physics
Volume24
Issue number6
DOIs
Publication statusPublished - 2020

All Science Journal Classification (ASJC) codes

  • General Mathematics
  • General Physics and Astronomy

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