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

Authors :
A. B. Pavan
Kai Lin
Wei-Liang Qian
Elcio Abdalla
Source :
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual), Universidade de São Paulo (USP), instacron:USP
Publication Year :
2017

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 $\omega$ and angular quantum numbers $\lambda$, 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.<br />Comment: The Mathematica programs are attached in the ancillary files on the arXiv server

Details

Language :
English
Database :
OpenAIRE
Journal :
Repositório Institucional da USP (Biblioteca Digital da Produção Intelectual), Universidade de São Paulo (USP), instacron:USP
Accession number :
edsair.doi.dedup.....46507f4b0081b2b26986b2f41733c6f4