Eur. Phys. J. C (2017) 77: 96
https://doi.org/10.1140/epjc/s10052-017-4665-4

Regular Article - Theoretical Physics

The lower bound violation of shear viscosity to entropy ratio due to logarithmic correction in STU model

¹ School of Physics, Damghan University, Damghan, Iran
² Irving K. Barber School of Arts and Sciences, University of British Columbia-Okanagan, Kelowna, BC, V1V 1V7, Canada
³ Department of Physics and Astronomy, University of Lethbridge, Lethbridge, AB, T1K 3M4, Canada

^* e-mail: b.pourhassan@du.ac.ir

Received: 22 November 2016
Accepted: 26 January 2017
Published online: 13 February 2017

Abstract

In this paper, we analyze the effects of thermal fluctuations on a STU black hole. We observe that these thermal fluctuations can affect the stability of a STU black hole. We will also analyze the effects of these thermal fluctuations on the thermodynamics of a STU black hole. Furthermore, in the Jacobson formalism such a modification will produce a deformation of the geometry of the STU black hole. Hence, we use the AdS/CFT correspondence to analyze the effect of such a deformation on the dual quark–gluon plasma. So, we explicitly analyze the effect of thermal fluctuations on the shear viscosity to entropy ratio in the quark–gluon plasma, and we analyze the effects of thermal fluctuations on this ratio.