Quasinormal modes of (anti)de Sitter black holes in the 1 /D expansion
Abstract
We use the inversedimensional 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 nearhorizon 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 GregoryLaflamme frequencies of Ricciflat 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.
 Publication:

Journal of High Energy Physics
 Pub Date:
 April 2015
 DOI:
 10.1007/JHEP04(2015)085
 arXiv:
 arXiv:1502.02820
 Bibcode:
 2015JHEP...04..085E
 Keywords:

 Black Holes;
 Classical Theories of Gravity;
 Black Holes in String Theory;
 AdSCFT Correspondence;
 High Energy Physics  Theory;
 General Relativity and Quantum Cosmology
 EPrint:
 20 pages, 3 figures