Shear viscosity, instability and the upper bound of the Gauss-Bonnet coupling constant
arXiv:0903.2527 · doi:10.1088/1126-6708/2009/05/051
Abstract
We compute the dimensionality dependence of 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.
16 pages,3 figures+3 tables,typos corrected, published version
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