The effect of higher derivative correction on $\eta /s$ and conductivities in STU model

TL;DR

This paper examines how higher derivative corrections influence the ratios of shear viscosity to entropy and conductivities in a three-charge STU black hole model, extending prior work and ensuring thermodynamic stability.

Contribution

It introduces the effects of higher derivative corrections on transport coefficients in a three-charge STU black hole, generalizing previous two-charge models.

Findings

Higher derivative corrections modify the shear viscosity to entropy ratio.

Thermodynamic stability conditions are satisfied in the extended model.

Results align with previous models when higher derivative effects are absent.

Abstract

In this paper we study the ratio of shear viscosity to entropy, electrical and thermal conductivities for the R-charged black hole in STU model. We generalize previous works to the case of a black hole with three different charges. Actually we use diffusion constant to obtain ratio of shear viscosity to entropy. By applying the thermodynamical stability we recover previous results. Also we investigate the effect of higher derivative corrections.