期刊
GENERAL RELATIVITY AND GRAVITATION
卷 39, 期 4, 页码 521-528出版社
SPRINGER/PLENUM PUBLISHERS
DOI: 10.1007/s10714-007-0403-9
关键词
ADM mass; Regge calculus
We show by an almost elementary calculation that the ADM mass of an asymptotically flat space can be computed as a limit involving a rate of change of area of a closed 2-surface. The result is essentially the same as that given by David Brown and York (Phys. Rev. D 55, 1977-1984 1997; Phys. Rev. D 47, 1407-1419 1993). We will prove this result in two ways, first by direct calculation from the original formula as given by Arnowitt, Deser and Misner and second as a corollary of an earlier result by Brewin for the case of simplicial spaces.
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