Viscosity/entropy ratio in the context of dRGT massive gravity

¹ Institute of Modern Physics, Northwest University - Xi'an 710069, China
² School of Physics, Northwest University - Xi'an 710069, China
³ Shaanxi Key Laboratory for Theoretical Physics Frontiers - Xi'an 710069, China
⁴ Institute of Basic Science and Department of Computer Simulation, Inje University - Gimhae 50834, Korea
⁵ Center for Gravitation and Cosmology, College of Physical Science and Technology, Yangzhou University Yangzhou, 225009, China

^(a) binwu@nwu.edu.cn
^(b) dczou@yzu.edu.cn

Received: 9 July 2018
Accepted: 13 October 2018

Abstract

In this paper, the ratio of shear viscosity to entropy density in the context of dRGT massive gravity is studied. The massive graviton breaks the diffeomorphism invariance in the bulk geometry so that the momentum dissipates in the boundary theory. The ratio is calculated numerically and analytically by using Kubo formula. It is shown that exhibits a non-trivial temperature dependence. We find that approaches to a constant value at high temperature, while it tends to zero with a scaling law at low temperature.