A simple expression for the ADM mass

Details A simple expression for the ADM mass A simple expression for the ADM mass

2006-09-20

arxiv.org/abs/gr-qc/0609079v1

Gen.Rel.Grav.39:521-528,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 1 figure

Scientific paper

10.1007/s10714-007-0403-9

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 Brown and York. 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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