Quasi-Local Mass Integrals and the Total Mass |
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Authors: | Pengzi Miao Luen-Fai Tam Naqing Xie |
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Affiliation: | 1.Department of Mathematics,University of Miami,Coral Gables,USA;2.The Institute of Mathematical Sciences and Department of Mathematics,The Chinese University of Hong Kong,Shatin,China;3.School of Mathematical Sciences,Fudan University,Shanghai,China |
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Abstract: | On asymptotically flat and asymptotically hyperbolic manifolds, by evaluating the total mass via the Ricci tensor, we show that the limits of certain Brown–York type and Hawking type quasi-local mass integrals equal the total mass of the manifold in all dimensions. |
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