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Title:
A simple expression for the ADM mass
Authors:
Brewin, Leo
Affiliation:
AA(School of Mathematical Sciences, Monash University)
Publication:
General Relativity and Gravitation, Volume 39, Issue 4, pp.521-528 (GReGr Homepage)
Publication Date:
04/2007
Origin:
SPRINGER
Keywords:
ADM mass, Regge calculus
DOI:
10.1007/s10714-007-0403-9
Bibliographic Code:
2007GReGr..39..521B

Abstract

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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