It was recently shown that Strong Cosmic Censorship might be violated for near-extremally-charged black holes in 4-dimensional de Sitter space under scalar perturbations. Here, we extend the study of neutral massless scalar perturbations in higher dimensions and discuss the dimensional influence on the validity of Strong Cosmic Censorship hypothesis. By giving an elaborate description of neutral massless scalar perturbations of Reissner-Nordström-de Sitter black holes in d = 4, 5 and 6 dimensions we conclude that Strong Cosmic Censorship is violated near extremality.

Most available studies of quasi-normal modes for Lifshitz black solutions are limited to the neutral scalar perturbations. In this letter, we investigate the wave dynamics of massive charged scalar perturbation in the background of (3 + 1)-dimensional charged dilaton Lifshitz black branes/holes. We disclose the dependence of the quasi-normal modes on the model parameters, such as the Lifshitz exponent z, the mass and charge of the scalar perturbation field and the charge of the Lifshitz configuration. In contrast with neutral perturbations, we observe the possibility to destroy the original Lifshitz background near the extreme value of charge where the temperature is low. We find out that when the Lifshitz exponent deviates more from unity, it is more difficult to break the stability of the configuration. We also study the behavior of the real part of the quasi-normal frequencies.Unlike the neutral scalar perturbation around uncharged black branes where an overdamping was observed to start at z = 2 and independent of the value of scalar mass, our observation discloses that the overdamping starting point is no longer at z = 2 and depends on the mass of scalar field for charged Lifshitz black branes. For charged scalar perturbations, fixing ms, the asymptotic value of ωR for high z is more away from zero when the charge of scalar perturbation qs increases. There does not appear the overdamping. * Electronic address: mkzangeneh@shirazu.ac.ir † Electronic address: wang b@sjtu.edu.cn ‡ Electronic address: asheykhi@shirazu.ac.ir § Electronic address: tangziyu@sjtu.edu.cn

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We investigate the spacetime properties of BTZ black holes in the presence of the Maxwell field and BornInfeld field and find rich properties in the spacetime structures when the model parameters are varied. Employing LandauLifshitz theory, we examine the thermodynamical phase transition in the charged BTZ black holes. We further study the dynamical perturbation in the background of the charged BTZ black holes and find different properties in the dynamics when the thermodynamical phase transition occurs.