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arXiv · 0906.0064

Quasinormal modes of black holes in anti-de Sitter space: a numerical study of the eikonal limit

Jaqueline Morgan·Vitor Cardoso·Alex S. Miranda·C. Molina·Vilson T. Zanchin
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Abstract

Using series solutions and time-domain evolutions, we probe the eikonal limit of the gravitational and scalar-field quasinormal modes of large black holes and black branes in anti-de Sitter backgrounds. These results are particularly relevant for the AdS/CFT correspondence, since the eikonal regime is characterized by the existence of long-lived modes which (presumably) dominate the decay timescale of the perturbations. We confirm all the main qualitative features of these slowly-damped modes as predicted by Festuccia and Liu (arXiv:0811.1033) for the scalar-field (tensor-type gravitational) fluctuations. However, quantitatively we find dimensional-dependent correction factors. We also investigate the dependence of the QNM frequencies on the horizon radius of the black hole (brane) and the angular momentum (wavenumber) of vector- and scalar-type gravitational perturbations.

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Jaqueline Morgan, Vitor Cardoso, Alex S. Miranda, C. Molina, Vilson T. Zanchin. 2009-07-29. Quasinormal modes of black holes in anti-de Sitter space: a numerical study of the eikonal limit. https://doi.org/10.1103/physrevd.80.024024

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