On second variation of Wang-Yau quasi-local energy

DOI10.1007/s00023-013-0279-zzbMath1295.83016arXiv1301.4656OpenAlexW2037421150MaRDI QIDQ2510710

Luen-Fai Tam, Pengzi Miao

Publication date: 1 August 2014

Published in: Annales Henri Poincaré (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.4656

zbMATH Keywords

Brown-York massRiemannian 3-manifoldsWang-Yau quasi-local energy

Mathematics Subject Classification ID

Relativistic cosmology (83F05) Applications of differential geometry to physics (53Z05) Einstein's equations (general structure, canonical formalism, Cauchy problems) (83C05) Gravitational energy and conservation laws; groups of motions (83C40)

Related Items (5)

Chen-Nester-Tung quasi-local energy and Wang-Yau quasi-local mass ⋮ Evaluating small sphere limit of the Wang-Yau quasi-local energy ⋮ A Poincaré formula for differential forms and applications ⋮ Minimizing properties of critical points of quasi-local energy ⋮ Conserved quantities in general relativity: from the quasi-local level to spatial infinity

Cites Work

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• Critical points of Wang-Yau quasi-local energy
• Isometric embeddings into the Minkowski space and new quasi-local mass
• Large-sphere and small-sphere limits of the Brown-York mass
• On the behavior of quasi-local mass at the infinity along nearly round surfaces
• Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature.
• Definition of center of mass for isolated physical systems and unique foliations by stable spheres with constant mean curvature
• Foliation by Constant Mean Curvature Spheres on Asymptotically Flat Manifolds
• The Weyl and Minkowski problems in differential geometry in the large

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