Evaluation of the adm mass and center of mass via the ricci tensor

Pengzi Miao, Luen Fai Tam

Research output: Contribution to journalArticle

10 Scopus citations

Abstract

We prove directly without using a density theorem that (i) the ADM mass defined in the usual way on an asymptotically flat manifold is equal to the mass defined intrinsically using the Ricci tensor; (ii) the Hamiltonian formulation of center of mass and the center of mass defined intrinsically using the Ricci tensor are the same.

Original languageEnglish (US)
Pages (from-to)753-761
Number of pages9
JournalProceedings of the American Mathematical Society
Volume144
Issue number2
DOIs
StatePublished - Feb 1 2016

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

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