Strong cosmic censorship for the massless charged scalar field in the Reissner-Nordstrom-de Sitter spacetimen

It has recently been shown that the strong cosmic censorship conjecture can be violated by the massless neutral scalar field in the nearly extremal Reissner-Nordstrom-de Sitter black hole. However, the formation of such a black hole by gravitational collapse necessitates the presence of the charged sector on top of the Einstein-Maxwell system. Thus, we numerically calculate the quasinormal modes for a massless charged scalar field in the Reissner-Nordstrom-de Sitter spacetime by generalizing the characteristic formulation to the charged case. As a result, the strong cosmic censorship is recovered by our massless charged scalar field except in the highly extremal limit Q -> Q(m), where the violation still occurs when the scalar field is appropriately charged.