Quasilocal energy-momentum at null infinity

PoNing Chen Mu-Tao Wang Shing-Tung Yau

Mathematical Physics mathscidoc:1912.43696

We study the limit of quasilocal energy defined in [7] and [8] for a family of spacelike 2-surfaces approaching null infinity of an asymptotically flat spacetime. It is shown that Lorentzian symmetry is recovered and an energy-momentum 4-vector is obtained. In particular, the result is consistent with the Bondi-Sachs energy-momentum at a retarded time. The quasilocal mass in [7] and [8] is defined by minimizing quasilocal energy among admissible isometric embeddings and observers. The solvability of the Euler-Lagrange equation for this variational problem is also discussed in both the asymptotically flat and asymptotically null cases.
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  title={Quasilocal energy-momentum at null infinity},
  author={PoNing Chen, Mu-Tao Wang, and Shing-Tung Yau},
PoNing Chen, Mu-Tao Wang, and Shing-Tung Yau. Quasilocal energy-momentum at null infinity. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205037241591260.
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