High-order matrix method with delimited expansion domain

dc.contributor.authorLin, Kai
dc.contributor.authorQian, Wei-Liang [UNESP]
dc.contributor.institutionChina University of Geosciences
dc.contributor.institutionUniversidade de São Paulo (USP)
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.contributor.institutionYangzhou University
dc.description.abstractMotivated by the substantial instability of the fundamental and high-overtone quasinormal modes (QNMs), recent developments regarding the notion of black hole pseudospectrum call for numerical results with unprecedented precision. This work generalizes and improves the matrix method for black hole QNMs to higher orders, specifically aiming at a class of perturbations to the metric featured by discontinuity intimately associated with the QNM structural instability. The approach is based on the mock-Chebyshev grid, which guarantees its convergence in the degree of the interpolant. In practice, solving for black hole QNMs is a formidable task. The presence of discontinuity poses a further difficulty so that many well-known approaches cannot be employed straightforwardly. Compared with other viable methods, the modified matrix method is competent in speed and accuracy. Therefore, the method serves as a helpful gadget for relevant studies.en
dc.description.affiliationHubei Subsurface Multi-scale Imaging Key Laboratory Institute of Geophysics and Geomatics China University of Geosciences, Hubei
dc.description.affiliationEscola de Engenharia de Lorena Universidade de São Paulo
dc.description.affiliationFaculdade de Engenharia de Guaratinguetá Universidade Estadual Paulista
dc.description.affiliationCenter for Gravitation and Cosmology School of Physical Science and Technology Yangzhou University, Jiangsu
dc.description.affiliationUnespFaculdade de Engenharia de Guaratinguetá Universidade Estadual Paulista
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de Goiás
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado do Piauí
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipNational Natural Science Foundation of China
dc.identifier.citationClassical and Quantum Gravity, v. 40, n. 8, 2023.
dc.relation.ispartofClassical and Quantum Gravity
dc.subjectblack hole
dc.subjectmatrix method
dc.subjectquasinormal mode
dc.titleHigh-order matrix method with delimited expansion domainen
unesp.author.orcid0000-0002-3450-1984 0000-0002-3450-1984 0000-0002-3450-1984[2]