TL;DR
This paper investigates the hydrodynamic sound mode in holographic models with scalar fields, deriving analytical solutions to determine sound speed and bulk viscosity, which are relevant for strongly coupled systems.
Contribution
It generalizes the analysis of sound modes to backgrounds with multiple scalar fields and provides analytical solutions for specific cases.
Findings
Derived differential equations for gauge invariant variables.
Obtained analytical solutions for special metrics.
Determined sound speed and bulk viscosity in specific models.
Abstract
We study the hydrodynamic sound mode using gauge/gravity correspondence by examining a generic black brane background's response to perturbations. We assume that the background is generated by a single scalar field, and then generalize to the case of multiple scalar fields. The relevant differential equations obeyed by the gauge invariant variables are presented in both cases. Finally, we present an analytical solution to these equations in a special case; this solution allows us to determine the speed of sound and bulk viscosity for certain special metrics. These results may be useful in determining sound mode transport coefficients in phenomenologically motivated holographic models of strongly coupled systems.
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