Strong Cosmic Censorship in light of Weak Gravity Conjecture for Charged Black Holes

TL;DR

This paper explores the relationship between the strong cosmic censorship conjecture and the weak gravity conjecture in charged de Sitter black holes, showing that SCC is preserved when WGC holds but can be violated otherwise.

Contribution

It demonstrates how the weak gravity conjecture influences the validity of the strong cosmic censorship conjecture in charged black holes within de Sitter space.

Findings

SCC is preserved for dS-charged black holes when WGC conditions are met.

SCC can be violated if the WGC is not satisfied.

In extremal RN-dS black holes, SCC violation occurs at specific conditions.

Abstract

In this paper, we investigate the strong cosmic censorship conjecture (SCC) for charged black holes in the de Sitter space by considering the weak gravity conjecture (WGC). Using analytical methods, we find that the SCC is preserved for dS-charged black holes with respect to some restriction $qQ\gg1$ and $r_+\geq Q$ with the help of the WGC condition viz $\frac{q}{m}\geq 1$ for scalar fields. Where q, m are the charge and mass of the scalar field, and $r_+$, Q determine the radius of the outer event horizon and the charge of the black hole, respectively. In that case, when the (WGC) is valid, SCC will definitely be satisfied for the dS-charged black holes. On the other hand, the SCC is violated when the WGC is not satisfied. Also, we examined the RN-dS charged black hole in the extremality state and found that SCC can be violated with the condition $\Lambda r_+^2=1$.