The peeling property of Bondi-Sachs metrics for nonzero cosmological constants
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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, which Newman-Penrose quantities fall faster than usual. This provides a new feature of gravitational waves for nonzero cosmological constants.
KeywordsBondi-Sachs metric peeling property cosmological constant
MSC(2010)83C30 83C35 53B50
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This work was supported by National Natural Science Foundation of China (Grant Nos. 11571345 and 11731001) and 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.