TL;DR
This paper reviews the analytical calculation of perturbations and quasi-normal modes of anti-de Sitter black holes, exploring their implications for gauge theory hydrodynamics, phase transitions, and dual superconductors within the AdS/CFT framework.
Contribution
It provides analytical methods for calculating black hole perturbations and quasi-normal modes in AdS space, linking these to gauge theory hydrodynamics and phase transitions.
Findings
Analytical expressions for quasi-normal modes of AdS black holes
Insights into hydrodynamic behavior of dual gauge theories
Characterization of phase transitions in hairy black holes
Abstract
I review perturbations of black holes in asymptotically anti-de Sitter space. I show how the quasi-normal modes governing these perturbations can be calculated analytically and discuss the implications on the hydrodynamics of gauge theory fluids per the AdS/CFT correspondence. I also discuss phase transitions of hairy black holes with hyperbolic horizons and the dual superconductors emphasizing the analytical calculation of their properties.
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