Abstract
Recently, it is found that the strong cosmic censorship (SCC) is violated in Reissner-Nordstrom-de Sitter (RNdS) black hole by a minimal coupled neutral massless scalar field at the linear perturbation level. For the Einstein-Maxwell-Scalar-Gauss-Bonnet theory, which is famous for the spontaneous scalarization phenomenon, there exists the scalar field coupled with the Gauss-Bonnet term. Whether the SCC of the RNdS black hole can be repaired by the nonminimal coupled scalar field perturbation at the linear level becomes an interesting question. In this paper, we first investigate the extendibility of the metric beyond the Cauchy horizon in the Einstein-Maxwell-Scalar-Gauss-Bonnet theory. Then, we examine the SCC of the RNdS black hole by calculating the quasinormal mode of the nonminimal coupled scalar field and find that the SCC can be recovered under some parameters.
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