Abstract
It has been shown that the Strong Cosmic Censorship (SCC) can be violated by a scalar field in a near-extremal Reissner-Nordstrom-de Sitter black hole. In this paper, we investigate the Strong Cosmic Censorship in a Born-Infeld-de Sitter black hole by a scalar perturbation field with/without a charge. When the Born-Infeld parameter b becomes small, the nonlinear electrodynamics effect starts to play an important role and tends to rescue SCC. Specifically, we find that the SCC violation region decreases in size with decreasing b. Moreover, for a sufficiently small b, SCC can always be restored in a near-extremal Born-Infeld-de Sitter black hole with a fixed charge ratio.
Highlights
A black hole formed from gravitational collapse could possess a curvature singularity
Since strong cosmic censorship (SCC) may be violated near extremality in a RN-de Sitter (dS) black hole, we here focus on the near-extremal parameter space of a BI-dS black hole
We investigated the validity of SCC in a BI-dS black hole perturbed by a scalar field with/without a charge
Summary
A black hole formed from gravitational collapse could possess a curvature singularity. A weak solution of the Einstein equation is characterized by locally square integrable Christoffel symbols in some charts of the spacetime manifold This observation leads to the Christodoulou version of SCC, which states that the metric cannot be extendible across the Cauchy horizon with locally square integrable Christoffel symbols [6]. Since the charge matter is necessary for the formation of a charged black hole by gravitational collapse, the analysis was extended to a charged scalar field in a RN-dS black hole [31,32,33], which showed that, in the highly extremal limit, there always exists a region in parameter space where SCC is violated. We set 16πG 1⁄4 c 1⁄4 1 in this paper
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