Quasilocal mass and surface Hamiltonian in space-time

Mu-Tao Wang Columbia University

Differential Geometry mathscidoc:1608.10035

XVIIth International Congress on Mathematical Physics, 229-238, 2014
We discuss the concepts of energy and mass in relativity. On a finitely extended spatial region, they lead to the notion of quasilocal energy/mass for the boundary 2-surface in spacetime. A new definition was found in [27] that satisfies the positivity, rigidity, and asymptotics properties. The definition makes use of the surface Hamiltonian term which arises from Hamilton-Jacobi analysis of the gravitation action. The reference surface Hamiltonian is associated with an isometric embedding of the 2-surface into the Minkowski space. We discuss this new definition of mass as well as the reference surface Hamiltonian. Most of the discussion is based on joint work with PoNing Chen and Shing-Tung Yau.
Quasilocal mass, surface Hamiltonian, Hamilton-Jacobi analysis, isometric embedding, Minkowski space
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  title={Quasilocal mass and surface Hamiltonian in space-time},
  author={Mu-Tao Wang},
  booktitle={XVIIth International Congress on Mathematical Physics},
Mu-Tao Wang. Quasilocal mass and surface Hamiltonian in space-time. 2014. In XVIIth International Congress on Mathematical Physics. pp.229-238. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20160820181119803795339.
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