The Petrov-like boundary condition at finite cutoff surface in Gravity/Fluid duality
arXiv:1306.5633 · doi:10.1103/PhysRevD.90.043525
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.
17 pages, no figures, published in PRD
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- Fluid-gravity correspondence in the scalar-tensor theory of gravity: (in)equivalence of Einstein and Jordan frames
- Petrov type I Condition and Rindler Fluid in Vacuum Einstein-Gauss-Bonnet Gravity
- Fluid/gravity correspondence for massive gravity
- Holographic fluid from nonminimally coupled scalar-tensor theory of gravity
- Effective metric in fluid-gravity duality through parallel transport: a proposal
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- Time evolving fluid from Vaidya spacetime