Effect of massive potentials on the holographic thermalization

Ali Nemati; Shahrokh Parvizi

paper

Effect of massive potentials on the holographic thermalization

arXiv:1710.05712

Abstract

We perform a numerical study to recognize the difference between various massive potentials in the dRGT massive gravity on the holographic thermalization in the AdS and AdS Gauss-Bonnet gravities. The massive potential in $4 + 1$ dimensions includes three symmetric polynomial terms which we denote them as $a_{1}$ , $a_{2}$ and $a_{3}$ terms. We observe, in the case of time evolution of entanglement entropy that there is a critical size of the entangling surface on the boundary below which both signs of $a_{1}$ and above the critical size $a_{3}$ are able to reduce the thermal value of entanglement entropy. Our numerical computations show the more positive $a_{i}$ 's are, the faster system reaches to its thermal value. The order of saturation time of positive potentials when supplemented to AdS or AdS-GB backgrounds is as $t_{s a t} (a_{1}) > t_{s a t} (a_{2}) > t_{s a t} (a_{3})$ . We also explore these effects on the time evolution of the holographic mutual information.

arXiv comment24 pages, 9 figures

Effect of massive potentials on the holographic thermalization

Abstract

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