Fluid/gravity correspondence and the CFM black brane solutions

The European Physical Journal C

Roldão da Rocha¹  R. T. Cavalcanti²  R. Casadio³ 

[1] Centro de Matemática, Computação e Cognição, Universidade Federal do ABC-UFABC, 09210-580, Santo André, Brazil;Dipartimento di Fisica e Astronomia, Università di Bologna, via Irnerio 46, 40126, Bologna, Italy;Centro de Ciências Naturais e Humanas, Universidade Federal do ABC-UFABC, 09210-580, Santo André, Brazil;Dipartimento di Fisica e Astronomia, Università di Bologna, via Irnerio 46, 40126, Bologna, Italy;I.N.F.N., Sezione di Bologna, via B. Pichat 6/2, 40127, Bologna, Italy;

关键词: Black Hole;    Gauge Theory;    Transport Coefficient;    Black Brane;    Vacuum Expectation Value;   

DOI  :  10.1140/epjc/s10052-016-4415-z

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY