Quasinormal modes and echo effect of a cylindrical anti–de Sitter black hole spacetime with a thin shell

Lin, Kai

doi:10.1103/physrevd.107.124002

Cited by 5 publications

(2 citation statements)

References 32 publications

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“…We presented the results in table 1. The GHHM can be found in [33], and we set the order of the method as N = 100 in this work, which allows us to consider the GHHM results as the exact values. The 6th-order WKB approximation was first obtained by Konoplya in 2003 [22], and recently, the 12thorder WKB approximation has been derived in [24,25].…”

Section: Numerical Resultsmentioning

confidence: 99%

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Quasinormal modes by improved matrix method and weighted residual method

Lin

2024

Phys. Scr.

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This work discusses the Improved Matrix Method and Weighted Residual Method for studying the quasinormal modes (QNMs) of black holes. In the ﬁrst method, by utilizing Jordan decomposition, the improved matrix method avoids the calculation of inverse matrices in the original matrix method. This signiﬁcantly saves computational resources and time needed to compute the coeﬃcient square matrices of the derivatives. In the second method, we illustrate the eﬀectiveness of the weighted residual method in QNMs calculations by using the collocation method and Galerkin method as examples. We compared the results of both methods with the Generalized Horowitz-Hubeny Method and the WKB approximation. The methods proposed in this paper demonstrates superior precision. Additionally, we provide ﬁve criteria to exclude extraneous roots from the methods.

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Section: Numerical Resultsmentioning

confidence: 99%

“…In 2016, we proposed the matrix method (MM) [26][27][28][29][30][31][32][33]. This method can be widely applied to the study of QNMs in various background spacetimes, such as asymptotic flat black hole spacetimes, asymptotic (Anti-)de Sitter black hole spacetimes, neutron star spacetimes, and discontinuous potential cases.…”

Section: Introductionmentioning

confidence: 99%