Evaluating small sphere limit of the Wang-Yau quasi-local energy

DOI10.1007/s00220-017-3033-4zbMath1390.83052arXiv1510.00904OpenAlexW2964295792MaRDI QIDQ2413060

Po-Ning Chen, Mu-Tao Wang, Shing Tung Yau

Publication date: 6 April 2018

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.00904

zbMATH Keywords

energyconservation lawsstress-energy tensorBel-Robinson tensorGeneral RelativityWang-Yau quasi-local energyoptimal isometric embeddingsmall sphere limit

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40) Applications of local differential geometry to the sciences (53B50) Non-Euclidean differential geometry (53A35)

Related Items (6)

Local foliations by critical surfaces of the Hawking energy and small sphere limit ⋮ On the energy of gravitational waves ⋮ Local space time constant mean curvature and constant expansion foliations ⋮ The small sphere limit of quasilocal energy in higher dimensions along lightcone cuts ⋮ Evolution of angular momentum and center of mass at null infinity ⋮ Quasi-local mass at axially symmetric null infinity

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