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DC conductivity and higher derivative gravity.

Donos, Aristomenis and Gauntlett, Jerome P and Griffin, Tom and Melgar, Luis (2017) 'DC conductivity and higher derivative gravity.', Classical and quantum gravity., 34 (13). p. 135015.

Abstract

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1088/1361-6382/aa744a
Publisher statement:This is an author-created, un-copyedited version of an article published in Classical and quantum gravity. IOP Publishing Ltd is not responsible for any errors or omissions in this version of the manuscript or any version derived from it. The Version of Record is available online at 10.1088/1361-6382/aa744a
Date accepted:19 May 2017
Date deposited:11 July 2017
Date of first online publication:15 June 2017
Date first made open access:15 June 2018

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