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Large mass expansion of quasi-normal modes in AdS_5

High Energy Physics - Theory 2015-06-26 v1

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.

Keywords

Cite

@article{arxiv.hep-th/0402083,
  title  = {Large mass expansion of quasi-normal modes in AdS_5},
  author = {George Siopsis},
  journal= {arXiv preprint arXiv:hep-th/0402083},
  year   = {2015}
}

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13 pages