Fluid/Gravity Correspondence For General Non-rotating Black Holes
High Energy Physics - Theory
2015-06-15 v1 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.1303.3736,
title = {Fluid/Gravity Correspondence For General Non-rotating Black Holes},
author = {Xiaoning Wu and Yi Ling and Yu Tian and Chengyong Zhang},
journal= {arXiv preprint arXiv:1303.3736},
year = {2015}
}
Comments
21pages