The matrix method for black hole quasinormal modes

Made available in DSpace on 2019-10-04T11:57:41Z (GMT). No. of bitstreams: 0 Previous issue date: 2019-03-01 National Natural Science Foundation of China (NNSFC) Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP) Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES) We provide a comprehensive survey of possible applications of the matrix method for black hole quasinormal modes. The proposed algorithm can generally be applied to various background metrics, and in particular, it accommodates both analytic and numerical forms of the tortoise coordinates, as well as black hole spacetimes. We give a detailed account of different types of black hole metrics, master equations, and corresponding boundary conditions. Besides, we argue that the method can readily be applied to cases where the master equation is a system of coupled equations. By adjusting the number of interpolation points, the present method provides a desirable degree of precision, in reasonable balance with its efficiency. The method is flexible and can easily be adopted to various distinct physical scenarios. China Univ Geosci, Inst Geophys & Geomat, Hubei Subsurface Multiscale Imaging Key Lab, Wuhan 430074, Hubei, Peoples R China Univ Sao Paulo, Escola Engn Lorena, BR-12602810 Lorena, SP, Brazil Univ Estadual Paulista, Fac Engn Guaratingueta, BR-12516410 Guaratingueta, SP, Brazil Yangzhou Univ, Sch Phys Sci & Technol, Yangzhou 225002, Jiangsu, Peoples R China Univ Estadual Paulista, Fac Engn Guaratingueta, BR-12516410 Guaratingueta, SP, Brazil National Natural Science Foundation of China (NNSFC): 11805166