We 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.
Dyonic AdS black holes from magnetohydrodynamics / M. M. Caldarelli, O. J. C. Dias, D. Klemm. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1126-6708. - 2009:3(2009), pp. 025.025.1-025.025.38.
|Titolo:||Dyonic AdS black holes from magnetohydrodynamics|
KLEMM, DIETMAR (Ultimo)
|Parole Chiave:||AdS-CFT correspondence; Black holes in string theory; FsBlack holes; Gauge-gravity correspondence|
|Settore Scientifico Disciplinare:||Settore FIS/02 - Fisica Teorica, Modelli e Metodi Matematici|
|Data di pubblicazione:||2009|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1088/1126-6708/2009/03/025|
|Appare nelle tipologie:||01 - Articolo su periodico|