Regge poles of the Schwarzschild black hole: a WKB approach
arXiv:0906.2601 · doi:10.1103/PhysRevD.81.024031
Abstract
We provide simple and accurate analytical expressions for the Regge poles of the Schwarzschild black hole. This is achieved by using third-order WKB approximations to solve the radial wave equations for spins 0, 1 and 2. These results permit us to obtain analytically the dispersion relation and the damping of the "surface waves" lying on the photon sphere of the Schwarzschild black hole and which generate the weakly damped quasinormal modes of its spectrum. Our results could be helpful in order to simplify considerably the description of wave scattering from the Schwarzschild black hole as well as the analysis of the gravitational radiation created in many black hole processes. Furthermore, the existence of dispersion relations for the photons propagating close to the photon sphere could have also important consequences in the context of gravitational lensing.
v2: Minor corrections and consequences in gravitational lensing briefly discussed. v3: Minor changes to match the published version
References in corpus (4)
- Light's Bending Angle due to Black Holes: From the Photon Sphere to Infinity
- On an Expansion Method for Black Hole Quasinormal Modes and Regge Poles
- Complex angular momentum in black hole physics and quasinormal modes
- Quasinormal modes of the BTZ black hole are generated by surface waves supported by its boundary at infinity
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