Petrov type I condition and dual fluid dynamics
文献类型：期刊论文
| 作者 | Cai, RG ; Li, L
|
| 刊名 | JOURNAL OF HIGH ENERGY PHYSICS
 |
| 出版日期 | 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 |
| 资助信息 | 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 | 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 |
| 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,Li, L. Petrov type I condition and dual fluid dynamics[J]. JOURNAL OF HIGH ENERGY PHYSICS,2013(4):118. |
| APA | Cai, RG,&Li, L.(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. |
入库方式： OAI收割
来源：理论物理研究所
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