Perturbative calculation of quasi-normal modes of arbitrary spin in Schwarzschild spacetime
arXiv:hep-th/0610170 · doi:10.1016/j.physletb.2007.04.068
Abstract
We calculate analytically the asymptotic form of quasi-normal modes of perturbations of arbitrary spin of a Schwarzschild black hole including first-order corrections. We use the Teukolsky equation which applies to both bosonic and fermionic modes. Remarkably, we arrive at explicit expressions which coincide with those derived using the Regge-Wheeler equation for integer spin. Our zeroth-order expressions agree with the results of WKB analysis. In the case of Dirac fermions, our results are in good agreement with numerical data.
arXiv comment13 pages incl. 3 figures, v2: corrected error, generalized results to arbitrary spin
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