Abstract

We introduce the Einstein–Yang–Mills AdS black brane solution in context of massive gravity. The ratio of shear viscosity to entropy density is calculated for this solution. This value violates the KSS bound if we apply the Dirichlet boundary and regularity on the horizon conditions.

Highlights

  • General theory of relativity introduced by Albert Einstein in 1915 is a theory that graviton is massless within it. This theory predicts the gravitational waves which observed by advanced LIGO in 2016, but there are some phenomena that GR cannot explain them including the current acceleration of the universe, the cosmological constant problem, dark energy and dark matter

  • Massive gravity helps us to study the quantum gravity effects and this theory includes some interesting properties: (i) it could explain the accelerated expansion of the universe without considering the dark energy, (ii) the graviton behaves like a lattice excitation and exhibits a Drude peak in this theory, (iii) current experimental data from the observation of gravitational waves by advanced LIGO requires the graviton mass [8]

  • Massive gravity introduced by Fierz–Pauli [9] suffers from vDVZ discontinuity problem

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Summary

Introduction

General theory of relativity introduced by Albert Einstein in 1915 is a theory that graviton is massless within it This theory predicts the gravitational waves which observed by advanced LIGO in 2016, but there are some phenomena that GR cannot explain them including the current acceleration of the universe, the cosmological constant problem, dark energy and dark matter. The study of Quark Gluon Plasma (QGP) arises from the fact that after Big Bang the universe was filled with very hot and dense soup, known as QGP, which is strongly coupled. Yang–Mills gauge field and introduce the black-brane solution This model can be considered as a generalization of the Einstein–Hilbert model for studying the unknown part of the universe, dark matter and dark energy. We check the Dirichlet boundary and regularity on the horizon conditions for the value of η s

Einstein–Yang–Mills AdS black brane solution in massive gravity
Shear viscosity to entropy density
Conclusion
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