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Cai, RG; Li, L; Yang, Q; Zhang, YL; Cai, RG (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Petrov type I condition and dual fluid dynamics
Source PublicationJOURNAL OF HIGH ENERGY PHYSICS
Language英语
AbstractRecently Lysov and Strominger [arXiv:1104.5502] showed that imposing Petrov type I condition on a (p+1)-dimensional time like hypersurface embedded in a (p+2)-dimensional vacuum Einstein gravity reduces the degrees of freedom in the extrinsic curvature of the hypersurface to that of a fluid on the hypersurface, and that the leading-order Einstein constraint equations in terms of the mean curvature of the embedding give the in compressible Navier-Stokes equations of the dual fluid. In this paper we show that the non-relativistic fluid dual to vacuum Einstein gravity does not satisfy the Petrov type I condition at next order, unless additional constraint such as their rotational condition is added. In addition, we show that this procedure can be inversed to derive the non-relativistic hydrodynamics with higher order corrections through imposing the Petrov type I condition, and that some second order transport coefficients can be extracted, but the dual "Petrov type I fluid" does not match the dual fluid constructed from the geometry of vacuum Einstein gravity in the non-relativistic limit. We discuss the procedure both on the finite cut off surface via the non-relativistic hydrodynamic expansion and on the highly accelerated surface via the near horizon expansion.
2013
ISSN1029-8479
Issue4Pages:118
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [10821504, 10975168, 11035008]; Ministry of Science and Technology of China [2010CB833004] ; National Natural Science Foundation of China [10821504, 10975168, 11035008]; Ministry of Science and Technology of China [2010CB833004] ; National Natural Science Foundation of China [10821504, 10975168, 11035008]; Ministry of Science and Technology of China [2010CB833004] ; National Natural Science Foundation of China [10821504, 10975168, 11035008]; Ministry of Science and Technology of China [2010CB833004]
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Cited Times:9[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15385
Collection理论物理所科研产出_SCI论文
Corresponding AuthorCai, RG (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Cai, RG,Li, L,Yang, Q,et al. Petrov type I condition and dual fluid dynamics[J]. JOURNAL OF HIGH ENERGY PHYSICS,2013(4):118.
APA Cai, RG,Li, L,Yang, Q,Zhang, YL,&Cai, RG .(2013).Petrov type I condition and dual fluid dynamics.JOURNAL OF HIGH ENERGY PHYSICS(4),118.
MLA Cai, RG,et al."Petrov type I condition and dual fluid dynamics".JOURNAL OF HIGH ENERGY PHYSICS .4(2013):118.
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