In this talk I will review various holographic models of quantum quenches in Einstein-Maxwell theory. In the first part of the talk I will focus on global quenches, which can be described in terms of gravitational collapse and subsequent black hole formation in asymptotically AdS spaces. We compute the entanglement entropy for small subsystems and study how the charge affects the thermalization properties of the system. In particular, we show that, that the thermalization occurs faster for increasing chemical potential, provided that mu/T