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The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity

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Abstract

In the spirit of the AdS/CFT correspondence, we investigate the hydrodynamics of the dual conformal field in the Gauss-Bonnet gravity. By considering the parameters of the boosted black brane in the Gauss-Bonnet gravity as functions of boundary coordinates, and then solving the corresponding correction terms, we calculate the first order stress-energy tensor of the dual conformal field. From this first order stress-energy tensor, we also obtain the shear viscosity and entropy density. And these results are consistent with those of some previous works from the effective coupling of gravitons.

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Authors and Affiliations

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

    Ya-Peng Hu & Zhang-Yu Nie

  2. Key Laboratory of Frontiers in Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of Sciences, P.O. Box 2735, Beijing, 100190, China

    Ya-Peng Hu & Huai-Fan Li

  3. Department of Physics and Institute of Theoretical Physics, Shanxi Datong University, Datong, 037009, China

    Huai-Fan Li

  4. Department of Applied Physics, Xi’an Jiaotong University, Xi’an, 710049, China

    Huai-Fan Li

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ArXiv ePrint: 1012.0174

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Hu, YP., Li, HF. & Nie, ZY. The first order hydrodynamics via AdS/CFT correspondence in the Gauss-Bonnet gravity. J. High Energ. Phys. 2011, 123 (2011). https://doi.org/10.1007/JHEP01(2011)123

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