Perturbative calculation of quasi-normal modes of arbitrary spin in Schwarzschild spacetime

Details Perturbative calculation of quasi-normal modes of arbitrary spin in Schwarzschild spacetime Perturbative calculation of quasi-normal modes of arbitrary spin in Schwarzschild spacetime

2006-10-15

arxiv.org/abs/hep-th/0610170v2

Physics

High Energy Physics

High Energy Physics - Theory

13 pages incl. 3 figures, v2: corrected error, generalized results to arbitrary spin

Scientific paper

10.1016/j.physletb.2007.04.068

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.

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