Backreaction effects due to matter coupled higher derivative gravity

Abstract

AdS-hydrodynamics has proven to be a useful tool for obtaining transport coefficients observed in the collective flow of strongly coupled fluids like quark gluon plasma (QGP). Particularly, the ratio of shear viscosity to entropy density $\eta /s$ obtained from elliptic flow measurements can be matched with the computation done in the dual gravity theory. The experimentally observed temperature dependence of $\eta /s$ requires the study of scalar matter coupled AdS gravity including higher derivative curvature corrections. We obtain the backreaction to the metric for such a matter coupled AdS gravity in $D$-dimensional spacetime due to the higher derivative curvature corrections. Then, we present the backreaction corrections to shear-viscosity $\eta$ and entropy density $s$.

14+1 pages, minor typos corrected,added appendix and references

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Cited by in corpus (1)

• Thermoelectric DC conductivities with momentum dissipation from higher derivative gravity