Mamani, Luis A. H.
Miranda, Alex S.
Zanchin, Vilson T.
Total Authors: 4
 Univ Fed ABC, Ctr Ciencias Nat & Humanas, Ave Estados 5001, BR-09210580 Santo Andre, SP - Brazil
 Univ Estadual Santa Cruz, Dept Ciencias Exatas & Tecnol, Lab Astrofis Teor & Observac, Rodovia Jorge Amado, Km 16, BR-45650000 Ilheus, BA - Brazil
 Inst Fed Educ Ciencia & Tecnol Rio Grande do Sul, Rua Avelino Antonio de Souza 1730, BR-95043700 Caxias Do Sul, RS - Brazil
Total Affiliations: 3
Physical Review D;
JUL 3 2018.
Web of Science Citations:
A certain identification of points in a planar Schwarzschild-anti de Sitter (AdS) black hole generates a four-dimensional static black string. In turn, a rotating black string can be obtained from a static one by means of a local boost along the compact direction. On the basis of the gauge/gravity duality, these black strings are dual to rotating thermal states of a strongly interacting conformal field theory (CFT) that lives on a cylinder. In this work, we obtain the complete quasinormal mode (QNM) spectrum of the gravitational perturbations of rotating black strings. Analytic solutions for the dispersion relations are found in the hydrodynamic limit, characterized by fluctuations with wave number and frequency much smaller than the Hawking temperature of the string (or the temperature of the CFT in the dual description). We obtain these dispersion relations both by studying the gravitational perturbations of rotating black strings and by investigating relativistic wave vectors in a moving fluid living on the boundary of the AdS spacetime. Relativistic effects like the Doppler shift of the frequencies, wavelength contraction, and dilation of the thermalization time are shown explicitly in such a regime. The numerical solutions for the fundamental QNMs show a crossover (a transition) from a hydrodynamic-like behavior to a linear relativistic scaling for large wave numbers. Additionally, we find a new family of QNMs which are purely damped in the zero wave number limit and that does not follow as a continuation of QNMs of the static black string, but that appears to be closely related to the algebraically special perturbation modes. (AU)