2021
DOI: 10.1088/1674-1137/abd01d
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Linear instability of charged massless scalar perturbation in regularized 4D charged Einstein-Gauss-Bonnet anti de-Sitter black holes *

Abstract: We study the linear instability of the charged massless scalar perturbation in regularized 4D charged Einstein-Gauss-Bonnet-AdS black holes by exploring their quasinormal modes. We find that the linear instability is triggered by superradiance. The charged massless scalar perturbation becomes more unstable with increasing Gauss-Bonnet coupling constant or black hole charge. Decreasing the AdS radius, on the other hand, will make the charged massless scalar perturbation more stable. The stable region in paramet… Show more

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Cited by 10 publications
(4 citation statements)
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“…The PS method, which is a fully numerical technique, is highly effective in determining QNFs. It has been widely utilized in various studies [29,30,64,[66][67][68][69][70][71][72][73], particularly for identifying high overtone modes [30]. The fundamental principle of the PS approach is to discretize the differential equations and subsequently solve the resultant generalized eigenvalue equations.…”
Section: Pseudo-spectral Methodsmentioning
confidence: 99%
See 1 more Smart Citation
“…The PS method, which is a fully numerical technique, is highly effective in determining QNFs. It has been widely utilized in various studies [29,30,64,[66][67][68][69][70][71][72][73], particularly for identifying high overtone modes [30]. The fundamental principle of the PS approach is to discretize the differential equations and subsequently solve the resultant generalized eigenvalue equations.…”
Section: Pseudo-spectral Methodsmentioning
confidence: 99%
“…Therefore, in this paper, we primarily utilize the WKB method as a cross-check, specifically for determining fundamental modes. For higher overtones, we commonly resort to the PS method-a fully numerical approach renowned for its power in determining QNFs [29,30,64,[66][67][68][69][70][71][72][73]. Nevertheless, it is essential to note that, like many numerical methods, the PS method may be time-consuming compared to the semi-analytic WKB method.…”
Section: Quasinormal Modesmentioning
confidence: 99%
“…Numerous techniques have been devised for determining QNMs, with the pseudospectral approach being a potent numerical instrument. This method has been successfully applied in various models to compute QNFs (see, e.g., [20][21][22][24][25][26][27][28][29][30][31][32]).…”
Section: Pseudospectral Methodsmentioning
confidence: 99%
“…For the pseudospectral method, we can refer to [45] and also see [46][47][48][49][50][51][52][53][54] for the application in the calculation of QNMs in the black hole physics. We justify our findings by further cross-checking the results with the Wentzel-Kramers-Brillouin (WKB) method, which is a widely-used and well-understood method, and analyse the error between the WKB and pseudosperctral methods.…”
Section: Quasi-normal Modesmentioning
confidence: 99%