论文标题

“强大的宇宙审查制度:非线性故事”附录

Addendum to "Strong cosmic censorship: The nonlinear story"

论文作者

Luna, Raimon, Zilhão, Miguel, Cardoso, Vitor, Costa, João L., Natário, José

论文摘要

我们阐明了将强宇宙审查制度(SCC)分析到高电荷的Reissner-NordströmDeSitter(RNDS)空位时出现的许多问题。可以根据准模式的光谱差距确定凯奇地平线的线性稳定性,从而清楚地了解了可能导致无限小扰动的参数范围。但是,一旦考虑到非线性反应,情况就会变得更加微妙。这些细微之处在文献中引起了有关能够从可用的数值模拟中获得有关SCC的结论的大量混乱。在这里,我们提出了有关球形对称性中带电的自我磨削标量字段的新数值结果,纠正了有关中性情况的一些先前主张,并认为现有的数值代码不足以得出有关SCC对接近极端极端RND的潜在失败的结论。

We clarify a number of issues that arise when extending the analysis of Strong Cosmic Censorship (SCC) to perturbations of highly charged Reissner-Nordström de Sitter (RNdS) spacetimes. The linear stability of the Cauchy horizon can be determined from the spectral gap of quasinormal modes, thus giving a clear idea of the ranges of parameters that are likely to lead to SCC violations for infinitesimally small perturbations. However, the situation becomes much more subtle once nonlinear backreaction is taken into account. These subtleties have created a considerable amount of confusion in the literature regarding the conclusions one is able to derive about SCC from the available numerical simulations. Here we present new numerical results concerning charged self-gravitating scalar fields in spherical symmetry, correct some previous claims concerning the neutral case, and argue that the existing numerical codes are insufficient to draw conclusions about the potential failure of SCC for near extremal RNdS black hole spacetimes.

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