TY - JOUR
T1 - Quasi-local mass at null infinity in bondi-sachs coordinates
AU - Chen, Po Ning
AU - Wang, Mu Tao
AU - Wang, Ye Kai
AU - Yau, Shing Tung
N1 - Publisher Copyright:
© 2019, International Press of Boston, Inc. All rights reserved.
PY - 2019
Y1 - 2019
N2 - There are two chief statements regarding the Bondi-Trautman mass [3, 29, 37, 33, 34] at null infinity: one is the positivity [30, 20], and the other is the mass loss formula [3], which are both global in nature. In this note, we compute the limit of the Wang-Yau quasi-local mass on unit spheres at null infinity of an asymptotically flat spacetime in the Bondi-Sachs coordinates. The quasi-local mass leads to a local description of radiation that is purely gravitational at null infinity. In particular, the quasi-local mass is evaluated in terms of the news function of the Bondi-Sachs coordinates.
AB - There are two chief statements regarding the Bondi-Trautman mass [3, 29, 37, 33, 34] at null infinity: one is the positivity [30, 20], and the other is the mass loss formula [3], which are both global in nature. In this note, we compute the limit of the Wang-Yau quasi-local mass on unit spheres at null infinity of an asymptotically flat spacetime in the Bondi-Sachs coordinates. The quasi-local mass leads to a local description of radiation that is purely gravitational at null infinity. In particular, the quasi-local mass is evaluated in terms of the news function of the Bondi-Sachs coordinates.
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U2 - 10.4310/PAMQ.2019.v15.n3.a5
DO - 10.4310/PAMQ.2019.v15.n3.a5
M3 - Article
AN - SCOPUS:85077701385
SN - 1558-8599
VL - 15
SP - 875
EP - 895
JO - Pure and Applied Mathematics Quarterly
JF - Pure and Applied Mathematics Quarterly
IS - 3
ER -