论文标题
强大的宇宙审查制度和特征值排斥,用于旋转的de de de sitter黑洞
Strong Cosmic Censorship and Eigenvalue Repulsions for rotating de Sitter black holes in higher-dimensions
论文作者
论文摘要
已经确定,克里斯托杜卢(Christodoulou)的强大宇宙审查制度(SCC)遭到Reissner-Nordström-de Sitter Black Black Holes的侵犯,但持有四维的Kerr-De保姆黑洞。我们表明,在奇数$ d \ ge 5 $时空维度中,SCC也受到相等的角动量(同型1)Myers-Perry-de保姆(MP-DS)的尊重。这表明在旋转背景中保存SCC可能是爱因斯坦重力的普遍特性,而不限于d = 4 kerr-ds背景。在DE Sitter GaceTime中讨论SCC所需的情况下,我们还研究了MP-DS的标量磁场准模式(QNM)光谱的重要方面。特别是,我们发现特征值排斥类似于在渐近平坦的Kerr-Newman黑洞的QNM光谱中相似的排斥。对于轴对称模式(即使用方位角量子数M = 0),有三个不同的QNM家族(De Sitter,Photon Sphere和接近Horizon)。但是,通常,对于非轴对称($ m \ ne 0 $)QNM,我们发现只有两个QNM家族可以描述整个光谱(因为光子球的几个泛音部分和接近水平的家族合并)。为了完整性,我们还研究了高维Schwarzschild-de保姆黑洞的完整标量场QNM光谱。
It has been established that Christodoulou's formulation of Strong Cosmic Censorship (SCC) is violated by Reissner-Nordström-de Sitter black holes, but holds in four-dimensional Kerr-de Sitter black holes. We show that SCC is also respected by equal angular momenta (cohomogeneity-1) Myers-Perry-de Sitter (MP-dS) in odd $d \ge 5$ spacetime dimensions. This suggests that the preservation of SCC in rotating backgrounds might be a universal property of Einstein gravity and not limited to the d = 4 Kerr-dS background. As required to discuss SCC in de Sitter spacetimes, we also study important aspects of the scalar field quasinormal mode (QNM) spectra of MP-dS. In particular, we find eigenvalue repulsions similar to those recently observed in the QNM spectra of asymptotically flat Kerr-Newman black holes. For axisymmetric modes (i.e. with azimuthal quantum number m = 0) there are three distinct families of QNM (de Sitter, photon sphere and near-horizon). However, typically, for non-axisymmetric ($m \ne 0$) QNMs, we find that the entire spectra can be described by just two families of QNM (since several overtone sections of the photon sphere and near-horizon families merge). For completeness, we also study the full scalar field QNM spectra of higher-dimensional Schwarzschild-de Sitter black holes.