A characteristic approach to the quasi-normal mode problem

摘要: In this paper we discuss a new approach to the quasi-normal mode problem in general relativity. By combining characteristic formulation of perturbation equations with integration suitable phase-function for complex-valued radial coordinate, reformulate standard outgoing-wave boundary condition as zero Dirichlet condition. This has number important advantages over previous strategies. The permits coordinate compactification, which means that can impose at future null infinity. phase function avoids oscillatory behaviour solution, and use complex variable allows clean distinction between out- ingoing waves. We demonstrate method is easy implement, it leads high precision numerical results. Finally, argue should generalize rapidly rotating neutron star spacetimes.