We show that generic linear perturbations ψ solving on Reissner–Nordstrm–AdS black holes have infinite local energy at the Cauchy horizon. Combined with the result of Kehle (2020 Commun. Math. Phys. 376 145–200) that such perturbations ψ remain uniformly bounded and extend continuously across the Cauchy horizon, this settles the linear analogof the strong cosmic censorship conjecture for Reissner–Nordstrm–AdS: the C ⁰-formulation is false but the H ¹-formulation is true.

中文翻译：

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Reissner-Nordstrm-AdS Cauchy 视界线波局部能量的爆发

我们表明，在 Reissner-Nordstrm-AdS 黑洞上求解的通用线性扰动ψ在柯西视界具有无限的局部能量。结合 Kehle (2020 Commun. Math. Phys. 376 145–200) 的结果，即这种扰动ψ保持均匀有界并连续延伸穿过柯西视界，这解决了 Reissner-Nordstrm-AdS 强宇宙审查猜想的线性类比：C ^{0 -}公式是假的，但H ^{1 -}公式是真的。