Abstract
Locally asymptotically AdS solutions of Einstein equations coupled with a vector field with a weakly curved boundary metric are found within the fluid-gravity gradient expansion up to second order in gradients. This geometry is dual to 1 + 3 dimensional hydrodynamics with a conserved current in a weakly curved background. The causal structure of the bulk geometry is determined and it is shown that the black brane singularity is shielded by an event horizon.
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Plewa, G., Spalinski, M. On the gravity dual of strongly coupled charged plasma. J. High Energ. Phys. 2013, 2 (2013). https://doi.org/10.1007/JHEP05(2013)002
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DOI: https://doi.org/10.1007/JHEP05(2013)002