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arXiv · 1303.3736

Fluid/Gravity Correspondence For General Non-rotating Black Holes

Xiaoning Wu·Yi Ling·Yu Tian·Chengyong Zhang
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Abstract

In this paper, we investigate the fluid/gravity correspondence in spacetime with general non-rotating weakly isolated horizon. With the help of Petrov-like boundary condition and large mean curvature limit, we show that the dual hydrodynamical system is described by a generalized forced incompressible Navier-Stocks equation. Specially, for stationary black holes or those spacetime with some asymptotically stationary conditions, such a system reduces to a standard forced Navier-Stocks system.

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Xiaoning Wu, Yi Ling, Yu Tian, Chengyong Zhang. 2013-03-15. Fluid/Gravity Correspondence For General Non-rotating Black Holes. https://doi.org/10.1088/0264-9381%2F30%2F14%2F145012

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