Probing the hydrodynamic limit of (super)gravity

  • Adriana Di Dato
  • Jakob Gath
  • Andreas Vigand Pedersen
Open Access
Regular Article - Theoretical Physics

Abstract

We study the long-wavelength effective description of two general classes of charged dilatonic (asymptotically flat) black p-branes including D/NS/M-branes in ten and eleven dimensional supergravity. In particular, we consider gravitational brane solutions in a hydrodynamic derivative expansion (to first order) for arbitrary dilaton coupling and for general brane and co-dimension and determine their effective electro-fluid-dynamic descriptions by exacting the characterizing transport coefficients. We also investigate the stability properties of the corresponding hydrodynamic systems by analyzing their response to small long-wavelength perturbations. For branes carrying unsmeared charge, we find that in a certain regime of parameter space there exists a branch of stable charged configurations. This is in accordance with the expectation that D/NS/M-branes have stable configurations, except for the D5, D6, and NS5. In contrast, we find that Maxwell charged brane configurations are Gregory-Laflamme unstable independently of the charge and, in particular, verify that smeared configurations of D0-branes are unstable. Finally, we provide a modification to the mapping presented in arXiv:1211.2815 and utilize it to provide a non-trivial cross-check on a certain subset of our transport coefficients with the results of arXiv:1110.2320.

Keywords

p-branes Black Holes in String Theory D-branes AdS-CFT Correspondence 

Notes

Open Access

This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.

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Copyright information

© The Author(s) 2015

Authors and Affiliations

  • Adriana Di Dato
    • 1
  • Jakob Gath
    • 2
  • Andreas Vigand Pedersen
    • 3
    • 4
  1. 1.Departament de Física Fonamental, Institut de Ciències del CosmosUniversitat de BarcelonaBarcelonaSpain
  2. 2.Centre de Physique ThéoriqueEcole Polytechnique, CNRS UMR 7644Palaiseau CedexFrance
  3. 3.Center for Theoretical Physics and Department of PhysicsUniversity of CaliforniaBerkeleyUnited States
  4. 4.Niels Bohr InstituteUniversity of CopenhagenCopenhagen ØDenmark

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