Hydrodynamics from charged black branes

Details Hydrodynamics from charged black branes Hydrodynamics from charged black branes

2008-09-15

arxiv.org/abs/0809.2596v3

JHEP 1101:094,2011

Physics

High Energy Physics

High Energy Physics - Theory

0+ 31 Pages; v2: 0+33 pages, typos corrected and new sections (in appendix) added; v3:published version

Scientific paper

10.1007/JHEP01(2011)094

We extend the recent work on fluid-gravity correspondence to charged black-branes by determining the metric duals to arbitrary charged fluid configuration up to second order in the boundary derivative expansion. We also derive the energy-momentum tensor and the charge current for these configurations up to second order in the boundary derivative expansion. We find a new term in the charge current when there is a bulk Chern-Simons interaction thus resolving an earlier discrepancy between thermodynamics of charged rotating black holes and boundary hydrodynamics. We have also confirmed that all our expressions are covariant under boundary Weyl-transformations as expected.

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