2008/11/30 by James Hansen, Per Kraus · 33 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cauchy stress tensor #Charge (physics) #Connection (principal bundle) #Cosmology and Gravitation Theories #Fluid dynamics #Gravitation #Magnetohydrodynamics #Massive gravity #Nonlinear system #Quantum Electrodynamics and Casimir Effect #Tensor (intrinsic definition) #hep-th
paper · pdf · doi:10.1088/1126-6708/2009/04/048
published in Journal of High Energy Physics 2009(04), 048 (Springer Nature) · 20 pages. v3: Added section 2.3 on comparison to other approaches and definition of viscosity
arxiv created 2009/01/08 · openalex publication_date 2009/04/14 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We apply the recently established connection between nonlinear fluid dynamics and AdS gravity to the case of the dyonic black brane in AdS4. This yields the equations of fluid dynamics for a 2+1 dimensional charged fluid in a background magnetic field. We construct the gravity solution to second order in the derivative expansion. From this we find the fluid dynamical stress tensor and charge current to second and third order in derivatives respectively, along with values for the associated transport coefficients.