Shear viscosity, instability and the upper bound of the Gauss-Bonnet coupling constant

Details Shear viscosity, instability and the upper bound of the Gauss-Bonnet coupling constant Shear viscosity, instability and the upper bound of the Gauss-Bonnet coupling constant

2009-03-14

arxiv.org/abs/0903.2527v3

JHEP 05 (2009) 051

Physics

High Energy Physics

High Energy Physics - Theory

16 pages,3 figures+3 tables,typos corrected, published version

Scientific paper

We compute the dimensionality dependence of $\eta/s$ for charged black branes with Gauss-Bonnet correction. We find that both causality and stability constrain the value of Gauss-Bonnet coupling constant to be bounded by 1/4 in the infinite dimensionality limit. We further show that higher dimensionality stabilize the gravitational perturbation. The stabilization of the perturbation in higher dimensional space-time is a straightforward consequence of the Gauss-Bonnet coupling constant bound.

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