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Quasinormal modes of (Anti-)de Sitter black holes in the 1/D expansion | | Roberto Emparan
; Ryotaku Suzuki
; Kentaro Tanabe
; | | Date: |
10 Feb 2015 | | Abstract: | We use the inverse-dimensional expansion to compute analytically the
frequencies of a set of quasinormal modes of static black holes of
Einstein-(Anti-)de Sitter gravity, including the cases of spherical, planar or
hyperbolic horizons. The modes we study are decoupled modes localized in the
near-horizon region, which are the ones that capture physics peculiar to each
black hole (such as their instabilities), and which in large black holes
contain hydrodynamic behavior. Our results also give the unstable
Gregory-Laflamme frequencies of Ricci-flat black branes to two orders higher in
1/D than previous calculations. We discuss the limits on the accuracy of these
results due to the asymptotic but not convergent character of the 1/D
expansion, which is due to the violation of the decoupling condition at finite
D. Finally, we compare the frequencies for AdS black branes to calculations in
the hydrodynamic expansion in powers of the momentum k. Our results extend up
to k^9 for the sound mode and to k^8 for the shear mode. | | Source: | arXiv, 1502.2820 | | Services: | Forum | Review | PDF | Favorites | |
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