Hydrodynamics with conserved current via AdS/CFT correspondence in the Maxwell-Gauss-Bonnet gravity

Journal Article · Wed Jun 15 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.126003· OSTI ID:21502744

Yapeng, Hu; Peng, Sun; Jianhui, Zhang ^[1]

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1. Center for High-Energy Physics, Peking University, Beijing 100871 (China)

Using the AdS/CFT correspondence, we study the hydrodynamics with conserved current from the dual Maxwell-Gauss-Bonnet gravity. After constructing the perturbative solution to the first order based on the boosted black brane solution in the bulk Maxwell-Gauss-Bonnet gravity, we extract the stress tensor and conserved current of the dual conformal fluid on its boundary, and also find the effect of the Gauss-Bonnet term on the dual conformal fluid. Our results show that the Gauss-Bonnet term can affect the parameters such as the shear viscosity {eta}, entropy density s, thermal conductivity {kappa} and electrical conductivity {sigma}. However, it does not affect the so-called Wiedemann-Franz law which relates {kappa} to {sigma}, while it affects the ratio {eta}/s. In addition, another interesting result is that {eta}/s can also be affected by the bulk Maxwell field in our case, which is consistent with some previous results predicted through the Kubo formula. Moreover, the anomalous magnetic and vortical effects by adding the Chern-Simons term are also considered in our case in the Maxwell-Gauss-Bonnet gravity.

• OSTI ID: 21502744
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ANTI DE SITTER SPACE
DENSITY
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ENTROPY
FIELD THEORIES
FLUID MECHANICS
FLUIDS
GRAVITATION
HYDRODYNAMICS
KUBO FORMULA
MATHEMATICAL SOLUTIONS
MATHEMATICAL SPACE
MECHANICS
PHYSICAL PROPERTIES
QUANTUM FIELD THEORY
SPACE
THERMAL CONDUCTIVITY
THERMODYNAMIC PROPERTIES
VISCOSITY
WIEDEMANN-FRANZ LAW