PUB - Publikationen an der Universität Bielefeld

We consider the time evolution of two entropy-like quantities, theholographic entanglement entropy and causal holographic information, in a modelof holographic thermalization dual to the gravitational collapse of a thinplanar shell. Unlike earlier calculations valid in different limits, we performa full treatment of the dynamics of the system, varying both the shell'sequation of state and initial position. In all cases considered, we find thatbetween an early period related to the acceleration of the shell and a lateepoch of saturation towards the thermal limit, the entanglement entropyexhibits universal linear growth in time in accordance with the prediction ofLiu and Suh. As intermediate steps of our analysis, we explicitly construct acoordinate system continuous at the location of an infinitely thin shell andderive matching conditions for geodesics and extremal surfaces traversing thisregion.