@article{0edb247609754beabebb44e0fe912ac0,

title = "Evolution of Angular Momentum and Center of Mass at Null Infinity",

abstract = "We study how conserved quantities such as angular momentum and center of mass evolve with respect to the retarded time at null infinity, which is described in terms of a Bondi–Sachs coordinate system. These evolution formulae complement the classical Bondi mass loss formula for gravitational radiation. They are further expressed in terms of the potentials of the shear and news tensors. The consequences that follow from these formulae are (1) Supertranslation invariance of the fluxes of the CWY conserved quantities. (2) A conservation law of angular momentum {\`a} la Christodoulou. (3) A duality paradigm for null infinity. In particular, the supertranslation invariance distinguishes the CWY angular momentum and center of mass from the classical definitions.",

author = "Chen, {Po Ning} and Jordan Keller and Wang, {Mu Tao} and Wang, {Ye Kai} and Yau, {Shing Tung}",

note = "Funding Information: P.-N. Chen is supported by NSF Grant DMS-1308164 and Simons Foundation Collaboration Grant #584785, M.-T. Wang is supported by NSF Grant DMS-1810856, Y.-K. Wang is supported by MOST Taiwan grant 107-2115-M-006-001-MY2, 109-2628-M-006-001 -MY3 and S.-T. Yau is supported by NSF Grants PHY-0714648 and DMS-1308244. The authors would like to thank the National Center for Theoretical Sciences at National Taiwan University where part of this research was carried out. This material is based upon work supported by the National Science Foundation under Grant No. DMS-1810856. Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.",

year = "2021",

month = aug,

doi = "10.1007/s00220-021-04053-7",

language = "English",

volume = "386",

pages = "551--588",

journal = "Communications in Mathematical Physics",

issn = "0010-3616",

publisher = "Springer New York",

number = "1",

}