正则 ABGB - 德西特黑洞时空中的标量微扰与强宇宙监督
Scalar perturbations and strong cosmic censorship in a regular ABGB-de Sitter black hole spacetime
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中文总结 AI 辅助
研究正则ABGB - dS黑洞时空中标量微扰的QNMs及SCC，分析标量QNF与黑洞参数关系，探讨无质量和有质量标量微扰下SCC情况，发现ABGB - dS时空中SCC更易违反，标量质量不能恢复SCC且会增强违反。
中文摘要 AI 辅助
我们研究正则阿永 - 贝托 - 加西亚 - 布龙尼科夫 - 德西特（ABGB - dS）黑洞时空中标量微扰的准正则模（QNMs）和强宇宙监督（SCC）。主要动机是明确消除中心奇点的黑洞核心正则化是否会改变与柯西视界相关的SCC的命运。首先研究标量QNM频率（QNF）对标量质量和黑洞参数的依赖性。对于角量子数\(l = 0\)，小标量质量会产生纯虚数的缓慢衰减模式，还发现黑洞电荷和宇宙学常数对QNM谱有定性相反的影响。接着在无质量和有质量标量微扰下检验SCC。无质量微扰时，QNMs谱可分为光子球（PS）、德西特（dS）和近极端（NE）族。与雷斯纳 - 诺德斯特龙 - 德西特（RN - dS）情形相比，ABGB - dS时空中SCC一般更易被违反，虽对于足够大宇宙学常数此趋势会反转。有质量标量微扰时，标量质量不能恢复SCC，反而会通过使系统进入\(\beta>1\) regime增强违反。最后讨论了正则黑洞时空中SCC违反的预期情况。
英文摘要
We investigate the quasinormal modes (QNMs) of scalar perturbations and strong cosmic censorship (SCC) in regular Ayón-Beato-García-Bronnikov-de Sitter (ABGB-dS) black hole spacetime. The main motivation of this work is to clarify whether the regularization of black hole core, which removes the central singularity, can also change the fate of SCC connected to the Cauchy horizon. We first study the dependence of the scalar QNM frequency (QNF) on the scalar mass and black hole parameters. For angular number $l=0$, a small scalar mass can give rise to a slowly decaying mode which is purely imaginary. We also find that the black hole charge and cosmological constant affect the QNM spectrum in qualitatively opposite ways. We then examine SCC under massless and massive scalar perturbations. For massless perturbations, the QNMs spectrum can be organized into photon sphere (PS), de Sitter (dS) and near-extremal (NE) families. Compared with the SCC in the Reissner-Nordström-de Sitter (RN-dS) case, SCC is generally more easily violated in the ABGB-dS spacetime, although this tendency is reversed for sufficiently large cosmological constant. For massive scalar perturbations, we find that the scalar mass does not restore SCC. Instead, it can enhance the violation by driving the system into the regime $β>1$. At last, we discuss what we may expect from the violation of SCC in a regular black hole spacetime.
