https://doi.org/10.1140/epjc/s10052-019-6631-9
Regular Article - Theoretical Physics
Holographic aspects of a higher curvature massive gravity
1
Department of Physics, School of Sciences, Tarbiat Modares University, P.O. Box 14155-4838, Tehran, Iran
2
Department of Physics, School of Sciences, Ayatollah Boroujerdi University, Boroujerd, Iran
* e-mail: parvizi@modares.ac.ir
Received:
23
November
2018
Accepted:
27
January
2019
Published online:
5
February
2019
We study the holographic dual of a massive gravity with Gauss–Bonnet and cubic quasi-topological higher curvature terms. Firstly, we find the energy–momentum two point function of the 4-dimensional boundary theory where the massive term breaks the conformal symmetry as expected. An a-theorem is introduced based on the null energy condition. Then we focus on a black brane solution in this background and derive the ratio of shear viscosity to entropy density for the dual theory. It is worth mentioning that the concept of viscosity as a transport coefficient is obscure in a nontranslational invariant theory as in our case. So although we use the Green–Kubo’s formula to derive it, we rather call it the rate of entropy production per the Planckian time due to a strain. Results smoothly cover the massless limit.
© The Author(s), 2019
