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arXiv 1401.6487hep-th
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非极小耦合标量-张量引力理论的全息流体

Holographic fluid from nonminimally coupled scalar-tensor theory of gravity

Bin Wu, Liu Zhao

摘要:

我们建立了引力/流体对应的非极小耦合标量张量引力理论。在引力场上施加类似Petrov-like边界条件,我们发现,对于某类背景度规,边界涨落服从在近视界展开下首阶近似下不含任何外力项的不可压缩流体的标准纳维-斯托克斯方程.也就是说,无论我们施加什么样的边界条件,标量场涨落对首阶近似都没有贡献。

英文摘要:

We establish the gravity/fluid correspondence in the nonminimally coupled scalar-tensor theory of gravity. Imposing Petrov-like boundary conditions over the gravitational field, we find that, for a certain class of background metrics, the boundary fluctuations obey the standard Navier-Stokes equation for an incompressible fluid without any external force term in the leading order approximation under the near horizon expansion. That is to say, the scalar field fluctuations does not contribute in the leading order approximation regardless of what kind of boundary condition we impose on it.

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