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Large mass expansion of quasi-normal modes in AdS_5

George Siopsis
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Abstract

We calculate analytically the asymptotic form of quasi-normal frequencies for massive scalar perturbations of large black holes in AdS_5. We solve the wave equation, which reduces to a Heun equation, perturbatively and calculate the wave function as an expansion in 1/m, where m is the mass of the mode. The zeroth-order results agree with expressions derived by numerical analysis. We also calculate the first-order corrections to frequencies explicitly and show that they are of order 1/m.

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George Siopsis. 2004-02-10. Large mass expansion of quasi-normal modes in AdS_5. https://doi.org/10.1016/j.physletb.2004.03.064

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