2006/09/20 by Leo Brewin · 1 citation
Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Black Holes and Theoretical Physics #Corollary #Differential geometry #Expression (computer science) #Geometric and Algebraic Topology #Limit (mathematics) #Simple (philosophy) #Space (punctuation) #gr-qc
paper · pdf · doi:10.1007/s10714-007-0403-9
published as Gen.Rel.Grav.39:521-528,2007 · 9 pages, 1 figure
arxiv created 2006/09/20 · openalex publication_date 2007/02/05 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.