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

Pengzi Miao; Luen Fai Tam

doi:10.1090/proc12726

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

Pengzi Miao, Luen Fai Tam

Mathematics

Research output: Contribution to journal › Article › peer-review

17 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 language	English (US)
Pages (from-to)	753-761
Number of pages	9
Journal	Proceedings of the American Mathematical Society
Volume	144
Issue number	2
DOIs	https://doi.org/10.1090/proc12726
State	Published - Feb 2016

ASJC Scopus subject areas

Mathematics(all)
Applied Mathematics

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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.",

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AB - 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.

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

Abstract

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