https://doi.org/10.1140/epjc/s10052-016-4415-z
Regular Article - Theoretical Physics
Fluid/gravity correspondence and the CFM black brane solutions
1
Dipartimento di Fisica e Astronomia, Università di Bologna, via Irnerio 46, 40126, Bologna, Italy
2
I.N.F.N., Sezione di Bologna, via B. Pichat 6/2, 40127, Bologna, Italy
3
Centro de Ciências Naturais e Humanas, Universidade Federal do ABC-UFABC, Santo André, 09210-580, Brazil
4
Centro de Matemática, Computação e Cognição, Universidade Federal do ABC-UFABC, Santo André, 09210-580, Brazil
* e-mail: roldao.rocha@ufabc.edu.br
Received:
25
July
2016
Accepted:
30
September
2016
Published online:
17
October
2016
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.
© The Author(s), 2016