Gravitational collapse of thin shells: time evolution of the holographic entanglement entropy
Ville Keränen (Rudolf Peierls Centre for Theoretical Physics, University of Oxford, 1 Keble Road, Oxford, OX1 3NP, UK); Hiromichi Nishimura (Faculty of Physics, Bielefeld University, D-33615, Bielefeld, Germany); Stefan Stricker (Institute of Theoretical Physics, Technical University of Vienna, Wiedner Hauptstr. 8-10, A-1040, Vienna, Austria); Olli Taanila (Nikhef, Science Park 105, 1098 XG, Amsterdam, Netherlands); Aleksi Vuorinen (Department of Physics and Helsinki Institute of Physics, P.O. Box 64, FI-00014, University of Helsinki, Finland)
We study the dynamics of gravitationally collapsing massive shells in AdS spacetime, and show in detail how one can determine extremal surfaces traversing them. The results are used to solve the time evolution of the holographic entanglement entropy in a strongly coupled dual conformal gauge theory, which is is seen to exhibit a regime of linear growth independent of the shape of the boundary entangling region and the equation of state of the shell. Our exact results are finally compared to those of two commonly used approximation schemes, the Vaidya metric and the quasistatic limit, whose respective regions of validity we quantitatively determine.
