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There are two important statements regarding the Trautman-Bondi mass at nullinfinity: one is the positivity, and the other is the Bondi mass loss formula,which are both global in nature. In this note, we compute the limit of theWang-Yau quasi-local mass on unit spheres at null infinity of an asymptoticallyflat spacetime in the Bondi-Sachs coordinates. The quasi-local mass leads to alocal description of the radiation that is purely gravitational at nullinfinity. In particular, the quasi-local mass is evaluated in terms of the newsfunction of the Bondi-Sachs coordinates.

Quasi-local mass at null infinity in Bondi-Sachs coordinates