2015/02/10 by Roberto Emparan, Ryotaku Suzuki, Kentaro Tanabe · 70 citations
Physics and Astronomy · #Anti-de Sitter space #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black brane #Black hole (networking) #Cosmology and Gravitation Theories #De Sitter universe #Decoupling (probability) #Extremal black hole #Normal mode #Planar #Quasinormal mode #gr-qc #hep-th
paper · pdf · open access · doi:10.1007/jhep04(2015)085
published in Journal of High Energy Physics 2015(4) (Springer Nature) · 20 pages, 3 figures
arxiv created 2015/02/10 · openalex publication_date 2015/04/01 · openalex created_date 2016/06/24 · arxiv updated 2022/03/07 · openalex updated_date 2026/08/05
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 k9 for the sound mode and to k8 for the shear mode.