Fluid-Gravity Correspondence For General Non-rotating Black HolesReport as inadecuate



 Fluid-Gravity Correspondence For General Non-rotating Black Holes


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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.



Author: Xiaoning Wu; Yi Ling; Yu Tian; Chengyong Zhang

Source: https://archive.org/







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