Fluid/gravity correspondence and the CFM black brane solutions

Author(s)

Casadio, R. ; Cavalcanti, R. T. ; da Rocha, Roldao

• Document type: Journal article
• Source: EUROPEAN PHYSICAL JOURNAL C; v. 76, n. 10 OCT 17 2016.
• Web of Science Citations: 3

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. (AU)

• FAPESP's process: 15/10270-0 - Fluid / gravity correspondence and applications
• Grantee: Roldão da Rocha
• Support Opportunities: Regular Research Grants