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Effect of massive potentials and the Gauss–Bonnet gravity on the holographic thermalization

We perform a numerical study to recognize the difference between various massive potentials in the massive gravity on the holographic thermalization in the AdS and AdS–Gauss–Bonnet gravities in 4[Formula: see text]+[Formula: see text]1 dimensions. In this space–time, three different massive potentials contribute to the graviton mass. We analyze the effects of these terms on the time evolution of entanglement entropy and the corresponding thermalization time. We also trace the effect of Gauss–Bonnet coupling on the thermalization process. The behavior of the holographic mutual information and size of the kinks, appearing in a large interval, are also studied.