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) |
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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 2016 |
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics