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 | |
| State | Published - Feb 1 2016 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics
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Cite this
Miao, P., & Tam, L. F. (2016). Evaluation of the adm mass and center of mass via the ricci tensor. Proceedings of the American Mathematical Society, 144(2), 753-761. https://doi.org/10.1090/proc12726