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类恰普林 dark 流体中黑洞的近极值渐近行为与强宇宙审查

Near-extremal asymptotics and strong cosmic censorship for black holes immersed in a Chaplygin-like dark fluid

Hao-Peng Yan, Zeng-Yi Zhang, Xiang-Qian Li, Xiao-Jun Yue

arXiv 2609.00980首次发表:更新:

发表机构

College of Physics and Optoelectronic Engineering, Taiyuan University of Technology(太原理工大学物理与光电工程学院)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文研究类恰普林 dark 流体中黑洞的无质量标量扰动的强宇宙审查,推导相关视界边界与近极值渐近行为,确定谱隙并分析强宇宙审查的潜在违反区域。

AI 中文摘要

我们研究了浸没在类恰普林 dark 流体(CDF)中的电中性黑洞的无质量标量扰动的强宇宙审查(SCC)。这种物质分布产生了渐近德西特外区,同时支撑了内柯西视界。我们推导了极值和纳拉伊视界边界的闭式参数化。这种解析控制产生了视界分裂和柯西视界表面引力的显式近极值渐近行为,以及近极值标量准正态谱主导项的解析表达式。基本近极值阻尼率趋近于柯西视界表面引力,而高阶角多极矩仍显式依赖于 CDF 极值几何。结合这些解析结果与全局准正态模计算,我们确定了谱隙并在整个三视界域评估了 SCC 的克里斯托杜洛表述。潜在的 SCC 违反被限制在极值附近的狭窄区域。随着有效宇宙学尺度增大,该区域的下边界依次由德西特、光子球和德西特模式控制,其归一化宽度呈非单调变化。

英文摘要

We investigate strong cosmic censorship (SCC) for massless scalar perturbations of electrically neutral black holes immersed in a Chaplygin-like dark fluid (CDF). The matter distribution produces an asymptotically de Sitter exterior while supporting an inner Cauchy horizon. We derive a closed-form parametrization of the extremal and Nariai horizon boundaries. This analytic control yields explicit near-extremal asymptotics for the horizon splitting and Cauchy-horizon surface gravity, together with an analytic expression for the leading near-extremal scalar quasinormal spectrum. The fundamental near-extremal damping rate approaches the Cauchy-horizon surface gravity, whereas higher angular multipoles retain explicit dependence on the CDF extremal geometry. Combining these analytic results with global quasinormal-mode calculations, we determine the spectral gap and assess the Christodoulou formulation of SCC throughout the three-horizon domain. Potential SCC violation is confined to a narrow region near extremality. As the effective cosmological scale increases, the lower boundary of this region is controlled successively by de Sitter, photon-sphere, and de Sitter modes, while its normalized width varies nonmonotonically.

Comments14 pages, 6 figures

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