A fluid/gravity prescription of the post-Newtonian parameter

[摘要] The KSS bound for the shear viscosity-to-entropy density ratio is employed in the fluid/gravity correspondence setup, to provide a theoretical bound for the post-Newtonian parameter in the Casadio-Fabbri-Mazzacurati black string solution that matches the observational bound [1]. This derived bound is here shown to vary according to the black string temperature, and, although the post-Newtonian parameter reaches bigger values as the temperature increases for fixed black string masses, it is still into the observational/experimental bound range. The Casadio-Fabbri-Mazzacurati-AdS black brane is shown to converge to the Schwarzschild-AdS black brane, for sufficiently high order expansion of the dual boundary energy-momentum tensor.

[发布机构] Centro de Matemática, Computação e Cognição, Universidade Federal Do ABC UFABC, Santo André; 09210-580, Brazil^1

[效力级别] 力学 [学科分类] 力学，机械学

[关键词] Black brane;Black strings;Boundary energies;Entropy density;Post-Newtonian parameters;Schwarzschild;Temperature increase;Theoretical bounds