Stability of Extremal Black Holes and Weak Cosmic Censorship Conjecture in Kiselev Spacetime

TL;DR

This paper examines the stability of extremal black holes and the validity of the Weak Cosmic Censorship Conjecture in Kiselev spacetime, using quantum corrections, perturbations, and scalar field scattering.

Contribution

It provides a novel analysis of black hole stability and cosmic censorship in Kiselev spacetime considering quantum effects and small perturbations.

Findings

WCCC holds for extremal and near-extremal black holes.

Second law of thermodynamics verified for near-extremal black holes.

Existence of lighter particles predicted via WGC in this context.

Abstract

In this study, we investigate the Weak Gravity Conjecture (WGC) and Weak Cosmic Censorship Conjecture (WCCC) for a quantum-corrected Reissner-Nordstr\"om Anti-de Sitter (RN-AdS) black hole embedded in Kiselev spacetime. By making small perturbations to the action and using WGC, we investigate the stability of black holes and predict the existence of lighter particles in the spectrum. Using the scattering of a charged scalar field, we study the WCCC. We verify under certain conditions on the temperature of the black hole, the second law holds for near-extremal black holes. Finally, we demonstrate that the WCCC holds for both extremal and near-extremal black holes.