New Gedanken experiment on RN-AdS black holes surrounded by quintessence

Yang Qu,Jiayi Wu,Jun Tao

doi:10.1140/epjc/s10052-022-10120-7

Yang Qu, Jiayi Wu + Show 1 more

Open Access

https://doi.org/10.1140/epjc/s10052-022-10120-7

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Abstract

In this paper, we use the new version of Gedanken experiment to investigate the weak cosmic censorship conjecture(WCCC) for RN-AdS black holes surrounded by quintessence. The process of matter fields falling into the black hole can be regarded as a dynamic process. Since the perturbation of matter fields doesn’t affect the spacetime geometry, we propose the stability condition and assume the process of matter fields falling into the black hole satisfies the null energy condition. Based on the stability condition and the null energy condition, the first-order and second-order perturbation inequalities are derived. As a result, we show that the WCCC for RN-AdS black holes surrounded by quintessence cannot be violated under the second-order approximation of matter fields perturbation.

Highlights

IntroductionThe most fundamental prediction of general relativity is the existence of black holes
Penrose [1] proposed the weak cosmic censorship conjecture (WCCC), which indicates the singularity should be hidden in the event horizon and the observer at infinity cannot receive any information from the singularity
The above expression gives f (r0(λ), λ) 0, which implies that the event horizon of near extremal RNAdS black holes surrounded by quintessence still exists when the second-order perturbation is taken into account, the WCCC cannot be violated under the second-order approximation of matter fields perturbation

Summary

Introduction

The most fundamental prediction of general relativity is the existence of black holes. If the event horizon vanishes, the naked singularity will destroy the well-define spacetime and the law of causality To solve this problem, Penrose [1] proposed the weak cosmic censorship conjecture (WCCC), which indicates the singularity should be hidden in the event horizon and the observer at infinity cannot receive any information from the singularity. We will consider the thermodynamics of the black hole surrounded by quintessence and use the Gedanken experiment to test the WCCC. 2, we study the spacetime geometry of RN-AdS black holes surrounded by quintessence under the matter fields perturbation. 5 we use the first-order optimal option and the second-order perturbation inequality to examine the WCCC for nearly extremal RN-AdS black holes surrounded by quintessence.

Spacetime gemogery of RN-AdS black hole surrounded by quintessence

The linear variational identities

First-order and second-order perturbation inequalities

Test the WCCC of RN-AdS black hole surrounded by quintessence

Conclusion