Quasilocal mass in general relativity

Apr, 2008
13 pages
Published in:
  • Phys.Rev.Lett. 102 (2009) 021101
e-Print:

Citations per year

20092013201720212024024681012
Abstract: (arXiv)
We define new energy momentum surface density and quasilocal mass for the boundary surface of a spacelike region in spacetime. Isometric embeddings of such a surface into the Minkowski space are used as reference surfaces in the definition. When the reference surface lies in a flat three-dimensional space slice of the Minkowski space, our expression recovers the Brown-York and Liu-Yau quasilocal mass. Moreover, we prove the positivity of the new quasilocal mass under the dominant energy condition and show that it is zero for surfaces in the Minkowski space.
  • 04.20.Cv