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arXiv · 1601.03222

Fluid/gravity correspondence and the CFM black brane solutions

Roberto Casadio·Rogerio T. Cavalcanti·Roldao da Rocha
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Abstract

We consider the lower bound for the shear viscosity-to-entropy density ratio, obtained from the fluid/gravity correspondence, in order to constrain the post-Newtonian parameter of brane-world metrics. In particular, we analyse the Casadio-Fabbri-Mazzacurati (CFM) effective solutions for the gravity side of the correspondence and argue that including higher order terms in the hydrodynamic expansion can lead to a full agreement with the experimental bounds, for the Eddington-Robertson-Schiff post-Newtonian parameter in the CFM metrics. This lends further support to the physical relevance of the viscosity-to-entropy ratio lower bound and fluid/gravity correspondence. Hence we show that CFM black branes are, effectively, Schwarzschild black branes.

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Roberto Casadio, Rogerio T. Cavalcanti, Roldao da Rocha. 2016-09-30. Fluid/gravity correspondence and the CFM black brane solutions. https://doi.org/10.1140/epjc%2Fs10052-016-4415-z

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