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题名: Petrov type I condition and dual fluid dynamics
作者: Cai, RG ;  Li, L ;  Yang, Q ;  Zhang, YL
刊名: JOURNAL OF HIGH ENERGY PHYSICS
出版日期: 2013
期号: 4, 页码:118
学科分类: Physics
通讯作者: Cai, RG (reprint author), Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, POB 2735, Beijing 100190, Peoples R China.
部门归属: [Cai, Rong-Gen; Li, Li; Yang, Qing; Zhang, Yun-Long] Chinese Acad Sci, State Key Lab Theoret Phys, Inst Theoret Phys, Beijing 100190, Peoples R China
英文摘要: Recently 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.
资助者: National Natural Science Foundation of China [10821504, 10975168, 11035008]; Ministry of Science and Technology of China [2010CB833004]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000321208800033
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15385
Appears in Collections:理论物理所2013年知识产出 _期刊论文

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Recommended Citation:
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.
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