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arXiv · 1107.1464

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

Tai-Zhuo Huang·Yi Ling·Wen-Jian Pan·Yu Tian·Xiao-Ning Wu
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Abstract

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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Tai-Zhuo Huang, Yi Ling, Wen-Jian Pan, Yu Tian, Xiao-Ning Wu. 2011-10-19. From Petrov-Einstein to Navier-Stokes in Spatially Curved Spacetime. https://doi.org/10.1007/jhep10(2011)079

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