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arXiv · 1408.3893

Evaluation of the ADM mass and center of mass via the Ricci tensor

Pengzi Miao·Luen-Fai Tam
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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 Ricci tensor; (ii) the Hamiltonian formulation of center of mass and the center of mass defined intrinsically using Ricci tensor are the same.

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Pengzi Miao, Luen-Fai Tam. 2014-08-18. Evaluation of the ADM mass and center of mass via the Ricci tensor. https://arxiv.org/abs/1408.3893

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