A New Quasi-local Mass and Positivity

نویسنده

  • XIAO ZHANG
چکیده

A new definition of quasi-local mass is proposed and its positivity is proved under certain conditions.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

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.

متن کامل

Positivity of Quasi-local Mass Ii

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...

متن کامل

A Quasi-local Mass for 2-spheres with Negative Gauss Curvature

We extend our previous definition of quasi-local mass to 2-spheres whose Gauss curvature is negative and prove its positivity.

متن کامل

1 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 کامل

0 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 ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2006