摘要
In this paper,we show that the peeling property still holds for Bondi-Sachs metrics with nonzero cosmological constants under the boundary condition given by Sommerfeld's radiation condition together with three nontrivialΛ-independent functions B,a and b.This should indicate that the new boundary condition is natural.Moreover,we construct some nonstationary vacuum Bondi-Sachs metrics without Bondi news,whose Newman-Penrose quantities fall faster than usual.This provides a new feature of gravitational waves for nonzero cosmological constants.
In this paper, we show that the peeling property still holds for Bondi-Sachs metrics with nonzero cosmological constants under the boundary condition given by Sommerfeld’s radiation condition together with three nontrivial Λ-independent functions B, a and b. This should indicate that the new boundary condition is natural. Moreover, we construct some nonstationary vacuum Bondi-Sachs metrics without Bondi news, whose Newman-Penrose quantities fall faster than usual. This provides a new feature of gravitational waves for nonzero cosmological constants.
基金
supported by National Natural Science Foundation of China(Grant Nos.11571345 and 11731001)
Hua Loo-Keng Key Laboratory of Mathematics,National Center for Mathematics and Interdisciplinary Sciences,Center for Excellence in Mathematical Sciences,Hua Loo-Keng Center for Mathematical Sciences of Chinese Academy of Sciences。
