Navier-Stokes equations on black hole horizons and DC thermoelectric conductivity.

  title={Navier-Stokes equations on black hole horizons and DC thermoelectric conductivity.},
  author={Aristomenis Donos and Jerome P. Gauntlett},
  journal={Physical Review D},
Within the context of the AdS/CFT correspondence, we show that the DC thermoelectric conductivity can be obtained by solving the linearized, time-independent, and forced Navier-Stokes equations on the black hole horizon for an incompressible and charged fluid. 

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The one-dimensional case was studied in

    arXiv:1201.3917 [hep-th

    • Phys.Rev.Lett. 108,
    • 2012

    In general, the result η = s/4π will not be valid for translationally invariant anisotropic black holes nor for holographic lattices

      Other topologies will be discussed in

        For simplicity, we set 16πG ¼ 1 and also set the cosmological constant to a convenient value

          Nature Phys

          • 9, 649
          • 2013

          The time dependent piece in (16) implies the static susceptibility of the heat current two-point Greens function is proportional to t ij

            and D

            • Vegh, Phys.Rev.Lett. 112, 071602
            • 2014