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arXiv · 1704.06015

Peeling Property of Bondi-Sachs metrics for nonzero Cosmological Constant

Fangquan Xie·Xiao Zhang
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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 $\Lambda$-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.

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Fangquan Xie, Xiao Zhang. 2017-04-20. Peeling Property of Bondi-Sachs metrics for nonzero Cosmological Constant. https://doi.org/10.1007/s11425-016-5135-4

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