A New Quasi-local Mass and Positivity
نویسنده
چکیده
A new definition of quasi-local mass is proposed and its positivity is proved under certain conditions.
منابع مشابه
On a Quasi-local Mass
We modify previous quasi-local mass definition. The new definition provides expressions of the quasi-local energy, the quasi-local linear momentum and the quasi-local mass. And they are equal to the ADM expressions at spatial infinity. Moreover, the new quasi-local energy has the positivity property.
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A spacetime is a four-manifold with a pseudo-metric of signature (+,+,+,−). A hypersurface or a 2-surface in a spacetime is spacelike if the induced metric is positive definite. A quasi-local energy-momentum vector is a vector in R associated to a spacelike 2-surface which depends on its first and second fundamental forms and the connection to its normal bundle in the spacetime. The time compon...
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We extend our previous definition of quasi-local mass to 2-spheres whose Gauss curvature is negative and prove its positivity.
متن کامل1 1 N ov 2 00 8 Isometric embeddings into the Minkowski space and new quasi - local mass Mu - Tao Wang and Shing - Tung Yau
The definition of quasi-local mass for a bounded space-like region Ω in space-time is essential in several major unsettled problems in general relativity. The quasi-local mass is expected to be a type of flux integral on the boundary two-surface Σ = ∂Ω and should be independent of whichever space-like region Σ bounds. An important idea which is related to the Hamiltonian formulation of general ...
متن کامل0 M ay 2 00 8 Isometric embeddings into the Minkowski space and new quasi - local mass Mu - Tao Wang and Shing - Tung Yau
The definition of quasi-local mass for a bounded space-like region Ω in space-time is essential in several major unsettled problems in general relativity. The quasi-local mass is expected to be a type of flux integral on the boundary two-surface Σ = ∂Ω and should be independent of whichever space-like region Σ bounds. An important idea which is related to the Hamiltonian formulation of general ...
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تاریخ انتشار 2006