Conserved Quantities of harmonic asymptotic initial data sets

Po-Ning Chen Columbia University Mu-Tao Wang Columbia University

Mathematical Physics mathscidoc:1608.22008

2014.9
In the first half of this article, we survey the new quasi-local and total angular momentum and center of mass defined in [9] and summarize the important properties of these definitions. To compute these conserved quantities involves solving a nonlinear PDE system (the optimal isometric embedding equation), which is rather difficult in general. We found a large family of initial data sets on which such a calculation can be carried out effectively. These are initial data sets of harmonic asymptotics, first proposed by Corvino and Schoen to solve the full vacuum constraint equation. In the second half of this article, the new total angular momentum and center of mass for these initial data sets are computed explicitly.
harmonic asymptotics, the optimal isometric embedding equation
[ Download ] [ 2016-08-20 13:08:33 uploaded by mutaowang ] [ 302 downloads ] [ 0 comments ]
@inproceedings{po-ning2014conserved,
  title={Conserved Quantities of harmonic asymptotic initial data sets},
  author={Po-Ning Chen, and Mu-Tao Wang},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160820130833646277317},
  year={2014},
}
Po-Ning Chen, and Mu-Tao Wang. Conserved Quantities of harmonic asymptotic initial data sets. 2014. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160820130833646277317.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved