Shear quasinormal modes of Gauss-Bonnet black brane: the first post-hydrodynamic order

Abstract

Assuming $\omega ={\sum }_n{C}^{(n)}{q}^{2n}$ in the low-frequency limit, we apply the refined recipe to compute the dispersion relation of shear quasinormal modes of the Gauss-Bonnet black brane. Treating the Gauss-Bonnet parameter $\lagb$ nonperturbatively and the momentum $q$ perturbatively, we work out $C^{(1)}$, $C^{(2)}$, confirm previous results in the literature and pave the way to a general formula for $C^{(n)}$.

arXiv comment19 pages