Hydrodynamics from charged black branes
Abstract
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.
Keywords
Cite
@article{arxiv.0809.2596,
title = {Hydrodynamics from charged black branes},
author = {Nabamita Banerjee and Jyotirmoy Bhattacharya and Sayantani Bhattacharyya and Suvankar Dutta and R. Loganayagam and P. Surówka},
journal= {arXiv preprint arXiv:0809.2596},
year = {2011}
}
Comments
0+ 31 Pages; v2: 0+33 pages, typos corrected and new sections (in appendix) added; v3:published version