Transverse And Shear Quasinormal Modes Of Black Branes

This article mainly studied the low frequency electric field disturbance of the schwarzschild black brane.In the membrane paradigm of the black brane.The dispersion relation in the low frequency limit of the quasinormal modes of the electric field is calculated.The viscous coefficient of the dual fluid can be obtained.The same dispersion relation can be obtained by studying the disturbance of the metric tensor.Let's assume thatw=O?q ²?<<1,Calculate the transverse channel of the low frequency electric field disturbance of the schwarzschild black brane.Checking the feasibility of the plan.Then the method is applied to calculate the smalll_GB value of the Gauss-Bonnet black brane.Then popularizing to anyl_GB value of the perturbation equation of the Gauss-Bonnet brane.Expecting to obtain the low frequency perturbation solution of the Gauss-Bonnet black brane.The past literature is based on the assumption thatw=O?q?<<1.The results are obviously inconsistent with the calculation results.This article will improve this assumption.So let's do the calculation fromw=O?q ²?<<1.