### 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 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