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arXiv · 1703.06439

A Matrix Method for Quasinormal Modes: Kerr and Kerr-Sen Black Holes

Kai Lin·Wei-Liang Qian·Alan B. Pavan·Elcio Abdalla
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Abstract

In this letter, a matrix method is employed to study the scalar quasinormal modes of Kerr as well as Kerr-Sen black holes. Discretization is applied to transfer the scalar perturbation equation into a matrix form eigenvalue problem, where the resulting radial and angular equations are derived by the method of separation of variables. The eigenvalues, quasinormal frequencies $ω$ and angular quantum numbers $λ$, are then obtained by numerically solving the resultant homogeneous matrix equation. This work shows that the present approach is an accurate as well as efficient method for investigating quasinormal modes.

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Kai Lin, Wei-Liang Qian, Alan B. Pavan, Elcio Abdalla. 2017-07-31. A Matrix Method for Quasinormal Modes: Kerr and Kerr-Sen Black Holes. https://doi.org/10.1142/s0217732317501346

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