5 Matching Annotations
  1. Mar 2018
    1. In theorem 1, for the fist time, the sameradius definition is used for both bodies and black holes
    2. The hypothesis of asymptotic flatness is necessary:
    3. A re-gion between two concentric balls is said to beuntrappedifθ+θ−>0 on thatregion. The region it is said to betrappedifθ+θ−<0. The outer boundaryof a trapped region on an asymptotically flat data is called ahorizonand itsatisfiesθ+θ−= 0.

      Veja mais em arXiv: 0906.5566

    4. we restrict ourselves to spherically symmetric initial data where the3-dimensional Riemannian manifold is taken to beR3. We call themreg-ular spherically symmetricinitial data. We also assume that the data areasymptotically flat.
    5. ∂Bbe a sphere centered at the origin with area radiusR. That is,the area of∂Bis given by 4πR2.