2009/07/31 by Jaqueline Morgan, Vitor Cardoso, Vítor Cardoso +3
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Black hole (networking) #Brane cosmology #Classical mechanics #Cosmology and Gravitation Theories #Gauge theory #Geometry #Gravitation #Gravitational wave #Mathematical physics #Normal mode #Physics #Quantum electrodynamics #Quantum mechanics #Quasinormal mode #Scalar (mathematics) #Scalar field #Spacetime #Wavenumber #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/09/117
published as JHEP 0909:117,2009 · added references, typos corrected, minor changes, final version for JHEP
arxiv created 2009/09/28 · openalex publication_date 2009/09/28 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The AdS/CFT duality has established a mapping between quantities in the bulk AdS black-hole physics and observables in a boundary finite-temperature field theory. Such a relationship appears to be valid for an arbitrary number of spacetime dimensions, extrapolating the original formulations of Maldacena's correspondence. In the same sense properties like the hydrodynamic behavior of AdS black-hole fluctuations have been proved to be universal. We investigate in this work the complete quasinormal spectra of gravitational perturbations of d-dimensional plane-symmetric AdS black holes (black branes). Holographically the frequencies of the quasinormal modes correspond to the poles of two-point correlation functions of the field-theory stress-energy tensor. The important issue of the correct boundary condition to be imposed on the gauge-invariant perturbation fields at the AdS boundary is studied and elucidated in a fully d-dimensional context. We obtain the dispersion relations of the first few modes in the low-, intermediate- and high-wavenumber regimes. The sound-wave (shear-mode) behavior of scalar (vector)-type low-frequency quasinormal mode is analytically and numerically confirmed. These results are found employing both a power series method and a direct numerical integration scheme.