Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-06-15
Phys.Rev.D81:024031,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
v2: Minor corrections and consequences in gravitational lensing briefly discussed. v3: Minor changes to match the published ve
Scientific paper
10.1103/PhysRevD.81.024031
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.
Décanini Yves
Folacci Antoine
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