The Petrov-like boundary condition at finite cutoff surface in Gravity/Fluid duality
General Relativity and Quantum Cosmology
2014-08-27 v3 High Energy Physics - Theory
Abstract
Previously it has been shown that imposing a Petrov-like boundary condition on a hypersurface may reduce the Einstein equation to the incompressible Navier-Stokes equation, but all these correspondences are established in the near horizon limit. In this note, we remark that this strategy can be extended to an arbitrary finite cutoff surface which is spatially flat, and the Navier-Stokes equation is obtained by employing a non-relativistic long-wavelength limit.
Keywords
Cite
@article{arxiv.1306.5633,
title = {The Petrov-like boundary condition at finite cutoff surface in Gravity/Fluid duality},
author = {Yi Ling and Chao Niu and Yu Tian and Xiao-Ning Wu and Wei Zhang},
journal= {arXiv preprint arXiv:1306.5633},
year = {2014}
}
Comments
17 pages, no figures, published in PRD