# Strong Cosmic Censorship for a Scalar Field in a Born-Infeld-de Sitter Black Hole

## TL;DR

This paper explores how nonlinear electrodynamics effects in Born-Infeld-de Sitter black holes influence the validity of Strong Cosmic Censorship, showing that these effects can restore SCC in near-extremal conditions.

## Contribution

It demonstrates that nonlinear electrodynamics effects in Born-Infeld-de Sitter black holes can prevent SCC violations observed in other black hole models.

## Key findings

- SCC violation region decreases as the Born-Infeld parameter b decreases.
- For sufficiently small b, SCC is restored in near-extremal black holes.
- Nonlinear electrodynamics effects are crucial in determining SCC validity.

## 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.