Dyonic AdS black holes from magnetohydrodynamics

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dc.creatorCaldarelli, Marco M.
dc.creatorDias, Oscar J. C.
dc.creatorKlemm, Dietmar
dc.date2008-12-03
dc.date2009-01-15
dc.date.accessioned2026-07-07T12:56:49Z
dc.date.available2026-07-07T12:56:49Z
dc.descriptionWe use the AdS/CFT correspondence to argue that large dyonic black holes in anti-de Sitter spacetime are dual to stationary solutions of the equations of relativistic magnetohydrodynamics on the conformal boundary of AdS. The dyonic Kerr-Newman-AdS_4 solution corresponds to a charged diamagnetic fluid not subject to any net Lorentz force, due to orthogonal magnetic and electric fields compensating each other. The conserved charges, stress tensor and R-current of the fluid are shown to be in exact agreement with the corresponding quantities of the black hole. Furthermore, we obtain stationary solutions of the Navier-Stokes equations in four dimensions, which yield predictions for (yet to be constructed) charged rotating black strings in AdS_5 carrying nonvanishing momentum along the string. Finally, we consider Scherk-Schwarz reduced AdS gravity on a circle. In this theory, large black holes and black strings are dual to lumps of deconfined plasma of the associated CFT. We analyze the effects that a magnetic field introduces in the Rayleigh-Plateau instability of a plasma tube, which is holographically dual to the Gregory-Laflamme instability of a magnetically charged black string.
dc.description38 pages, 1 figure. Refs. added
dc.identifierhttps://arxiv.org/abs/0812.0801
dc.identifierhttp://arxiv.org/abs/0812.0801
dc.identifierJHEP 0903:025,2009
dc.identifierdoi:10.1088/1126-6708/2009/03/025
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/224716
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleDyonic AdS black holes from magnetohydrodynamics
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