Petrov type I condition and dual fluid dynamics

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	Petrov type I condition and dual fluid dynamics
	Cai, RG
刊名	JOURNAL OF HIGH ENERGY PHYSICS
	2013
期号	4 页码:118
ISSN号	1029-8479
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.
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.
学科主题	Physics
收录类别	SCI
资助信息	National Natural Science Foundation of China [10821504, 10975168, 11035008]; Ministry of Science and Technology of China [2010CB833004]
原文出处	http://dx.doi.org/10.1007/JHEP04(2013)118
语种	英语
WOS记录号	WOS:000321208800033
公开日期	2014-04-25
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15385]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Cai, RG. Petrov type I condition and dual fluid dynamics[J]. JOURNAL OF HIGH ENERGY PHYSICS,2013(4):118.
APA	Cai, RG.(2013).Petrov type I condition and dual fluid dynamics.JOURNAL OF HIGH ENERGY PHYSICS(4),118.
MLA	Cai, RG."Petrov type I condition and dual fluid dynamics".JOURNAL OF HIGH ENERGY PHYSICS .4(2013):118.