论文标题

标量场的精确迟迟渐进式渐变级,在kerr黑洞的内部及其在强宇宙审查中的应用

Precise late-time asymptotics of scalar field in the interior of a subextreme Kerr black hole and its application in Strong Cosmic Censorship conjecture

论文作者

Ma, Siyuan, Zhang, Lin

论文摘要

在这项工作中,我们根据最新的进展,基于推导其在Kerr外部区域的精确渐近造型的进展,计算了非静态亚螺旋体Kerr Black Hole内部的标量场的精确迟迟渐近学。这提供了通用$ h^1 _ {\ text {loc}} $ - Kerr Cauchy Horizo​​n对标量扰动的不可扩展性的新证明,这是由Luk-Sbierski首先显示的(J.Func。Anal。,2016)。还讨论了Reissner-Nordström的类似结果。

In this work, we compute the precise late-time asymptotics for the scalar field in the interior of a non-static subextreme Kerr black hole, based on recent progress on deriving its precise asymptotics in the Kerr exterior region. This provides a new proof of the generic $H^1_{\text{loc}}$-inextendibility of the Kerr Cauchy horizon against scalar perturbations that is first shown by Luk--Sbierski (J. Func. Anal., 2016). The analogous results in Reissner--Nordström spacetimes are also discussed.

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