Abstract
We study the limit of quasilocal mass defined in [4 and 5] for a family of spacelike 2-surfaces in spacetime. In particular, we show the limit coincides with the ADM mass at spatial infinity. The limit for coordinate spheres of a boosted slice of the Schwarzchild solution is computed explicitly and shown to give the expected energy-momentum four-vector.
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Communicated by P.T. Chruściel
The first author is supported by NSF grant DMS-0605115.
The second author is supported by NSF grant DMS-0628341.
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Wang, MT., Yau, ST. Limit of Quasilocal Mass at Spatial Infinity. Commun. Math. Phys. 296, 271–283 (2010). https://doi.org/10.1007/s00220-010-0990-2
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DOI: https://doi.org/10.1007/s00220-010-0990-2