Vorticity in holographic fluids
Vorticity in holographic fluids
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全息流体中的涡度
DOI：
10.22323/1.155.0076
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发表时间：
2012
期刊：
影响因子：
--
通讯作者：
K. Siampos
中科院分区：
文献类型：
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作者：
M. Caldarelli;R. Leigh;A. Petkou;P. Petropoulos;V. Pozzoli;K. Siampos
鉴于近年来对全息再现保形流体各种性质的兴趣，我们回顾了在AdS/CFT背景下的涡度问题。具有涡度的三维流体需要具有角动量或坚果电荷的四维体几何，其边界几何属于Papapetrou—Randers类。边界流体出现在静止的非耗散运动构型中，可以是气旋或涡旋流动，在紧凑或非紧凑的支撑中演变。一个丰富的爱因斯坦解网络出现了，自然地与三维比安奇空间相连。我们使用Fefferman—Graham展开来处理来自体块的全息数据，并讨论了逆转这一过程和重建确切体块几何形状的替代方案。
In view of the recent interest in reproducing holographically various properties of conformal fluids, we review the issue of vorticity in the context of AdS/CFT. Three-dimensional fluids with vorticity require four-dimensional bulk geometries with either angular momentum or nut charge, whose boundary geometries fall into the Papapetrou--Randers class. The boundary fluids emerge in stationary non-dissipative kinematic configurations, which can be cyclonic or vortex flows, evolving in compact or non-compact supports. A rich network of Einstein's solutions arises, naturally connected with three-dimensional Bianchi spaces. We use Fefferman--Graham expansion to handle holographic data from the bulk and discuss the alternative for reversing the process and reconstruct the exact bulk geometries.