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Quasi-Local Mass Integrals and the Total Mass
Journal article   Peer reviewed

Quasi-Local Mass Integrals and the Total Mass

Pengzi Miao, Luen-Fai Tam and Naqing Xie
The Journal of geometric analysis, Vol.27(2), pp.1323-1354
2017-04
DOI: https://doi.org/10.1007/s12220-016-9721-z

Abstract

Primary 83C99 Mathematics Ricci tensor Abstract Harmonic Analysis Scalar curvature Fourier Analysis Convex and Discrete Geometry Global Analysis and Analysis on Manifolds Secondary 53C20 Total mass Differential Geometry Dynamical Systems and Ergodic Theory Quasi-local mass
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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5 Physics
5.9 Particles & Fields
5.9.12 Dark Energy
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Mathematics
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Mathematics

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