Artículos de revistas
A matrix method for quasinormal modes: Schwarzschild black holes in asymptotically flat and (anti-) de Sitter spacetimes
Fecha
2017-05-04Registro en:
Classical And Quantum Gravity. Bristol: Iop Publishing Ltd, v. 34, n. 9, 13 p., 2017.
0264-9381
10.1088/1361-6382/aa6643
WOS:000398277900001
WOS000398277900001.pdf
Autor
Univ Fed Itajuba
Universidade de São Paulo (USP)
Universidade Estadual Paulista (Unesp)
Institución
Resumen
In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in the form of a homogeneous system of linear algebraic equations. The resulting homogeneous matrix equation furnishes a non- standard eigenvalue problem, which can then be solved numerically to obtain the quasinormal frequencies. A key feature of the present approach is that the discretization of the wave function and its derivatives is made to be independent of any specific metric through coordinate transformation. In many cases, it can be carried out beforehand, which in turn improves the efficiency and facilitates the numerical implementation. We also analyze the precision and efficiency of the present method as well as compare the results to those obtained by different approaches.