Peeling Property of Bondi-Sachs metrics for nonzero Cosmological Constant
arXiv:1704.06015 · doi:10.1007/s11425-016-5135-4
Abstract
In this paper, we show that the peeling property still holds for Bondi-Sachs metrics with nonzero cosmological constant under the boundary condition given by Sommerfeld's radiation condition together with three nontrivial $Î$-independent functions $B$, $a$, $b$. This should indicate the new boundary condition is natural. Moreover, we construct some nonstationary vacuum Bondi-Sachs metrics without Bondi news, which Newmann-Penrose quantities fall faster than usual. This provides a new feature of gravitational waves for nonzero cosmological constant.
12 pages, final version, to appear in Science China Mathematics