Quasi-local mass at null infinity in Bondi-Sachs coordinates
arXiv:1901.06952
Abstract
There are two important statements regarding the Trautman-Bondi mass at null infinity: one is the positivity, and the other is the Bondi mass loss formula, which are both global in nature. In this note, we compute the limit of the Wang-Yau quasi-local mass on unit spheres at null infinity of an asymptotically flat spacetime in the Bondi-Sachs coordinates. The quasi-local mass leads to a local description of the radiation that is purely gravitational at null infinity. In particular, the quasi-local mass is evaluated in terms of the news function of the Bondi-Sachs coordinates.
arXiv comment11 pages
References in corpus (7)
- Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
- The Gravitational Hamiltonian, Action, Entropy, and Surface Terms
- Positivity of Quasilocal Mass
- Isometric embeddings into the Minkowski space and new quasi-local mass
- Radiation and Boundary Conditions in the Theory of Gravitation
- Conserved quantities in general relativity: from the quasi-local level to spatial infinity
- Boundary Conditions at Infinity for Physical Theories