The peeling property of Bondi-Sachs metrics for nonzero cosmological constants

• 来源期刊: 中国科学：数学（英文版）
• 年，卷（期）: 2020,（4）
• 页码范围: 617-626
• 页数: 10页
• 语种: 英文

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 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.