DC Conductivity and Higher Derivative Gravity

Understand

For Gauss-Bonnet gravity and in the context of holography we show how the thermal DC conductivity can be obtained by solving a generalised system of Stokes equations for an auxiliary fluid on a curved black hole horizon.

• For more general higher derivative theories of gravity coupled to gauge-fields, we also analyse the linearised thermal and electric currents that are produced by DC thermal and electric sources.
• We show how suitably defined DC transport current fluxes of the dual field theory are given by current fluxes defined at the black horizon.