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From Petrov-Einstein to Navier-Stokes in Spatially Curved Spacetime · Around

2011

From Petrov-Einstein to Navier-Stokes in Spatially Curved Spacetime

Huang, Tai-Zhuo, Ling, Yi, Pan, Wen-Jian et al.

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We generalize the framework in arXiv:1104.5502 to the case that an embedding may have a nonvanishing intrinsic curvature.

Directly employing the Brown-York stress tensor as the fundamental variables, we study the effect of finite perturbations of the extrinsic curvature while keeping the intrinsic metric fixed.
We show that imposing a Petrov type I condition on the hypersurface geometry may reduce to the incompressible Navier-Stokes equation for a fluid moving in spatially curved spacetime in the near-horizon limit.

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T.Huang, Y. Ling, W.Pan, Y.Tian and X.Wu, in preparation
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Then

S. Bhattacharyya, S. Minwalla and S. R. Wadia, JHEP 0908
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Later among the works it cites.
C. Eling, I. Fouxon and Y. Oz,Phys. Lett. B 680, 496 (2009) [arXiv:0905.3638]
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Later among the works it cites.
T. Padmanabhan, Phys. Rev. D 83
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