科研之友
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摘要
The retarded Green function of the wave equation for linear field perturbations in Schwarzschild black hole space-time possesses a branch cut in the complex-frequency plane. This branch cut has remained largely unexplored: only asymptotic analyses either for small frequency (yielding the well-known tail decay at late times of an initial perturbation of the black hole) or for large frequency (quasinormal modes close to the branch cut in this regime have been linked to quantum properties of black holes) have been carried out in the literature. The regime along the cut inaccessible to these asymptotic analyses has so far remained essentially unreachable. We present a new method for the analytic calculation of the branch cut directly on the cut for general-spin fields in Schwarzschild space-time. This method is valid for any values of the frequency and so it provides analytic access to the whole branch cut for the first time. We calculate the Green function modes along the cut and investigate their connection with quasinormal modes and their contribution to the self-force acting on a point particle on a Schwarzschild background space-time. DOI: 10.1103/PhysRevD.87.064010
- 出版日期2013-3-8
