New gedanken experiment on higher-dimensional asymptotically AdS Reissner-Nordstr\"om black hole

TL;DR

This paper investigates the stability of higher-dimensional asymptotically AdS Reissner-Nordström black holes under matter perturbations, proposing a new approach by treating the cosmological constant as a dynamical variable and confirming the weak cosmic censorship conjecture.

Contribution

It introduces a novel method by considering the cosmological constant as a dynamical quantity and derives perturbation inequalities to analyze black hole stability.

Findings

Higher-dimensional RN-AdS black holes cannot be destroyed under second-order perturbations.

The approach supports the weak cosmic censorship conjecture in this context.

Inclusion of variable cosmological constant in perturbation analysis.

Abstract

Viewing the negative cosmological constant as a dynamical quantity derived from the matter field, we study the weak cosmic censorship conjecture for the higher-dimensional asymptotically AdS Reissner-Nordstr\"om black hole. To this end, using stability assumption of matter field perturbation and null energy condition of the matter field, we first derive the first-order and second-order perturbation inequalities containing the variable cosmological constant and its conjugated quantity for the black hole . We prove that the higher-dimensional RN-AdS black hole cannot be destroyed under a second-order approximation of the matter field perturbation process.