Violations of the weak cosmic censorship conjecture in the higher dimensional f(R) black holes with pressure

Ke-Jian He,Guo-Ping Li,Xin-Yun Hu

doi:10.1140/epjc/s10052-020-7669-4

Abstract

We adopt the energy momentum relation of charged particles to study the thermodynamics laws and weak cosmic censorship conjecture of D-dimensional f(R) AdS black holes in different phase spaces by considering charged particle absorption. In the normal phase space, it turns out that the laws of thermodynamic and the weak cosmic censorship conjecture are valid. In the extended phase space, though the first law of thermodynamics is valid, the second law of thermodynamics is invalid. More interestingly, the weak cosmic censorship conjecture is shown to be violated only in higher-dimensional near-extremal f(R) AdS black holes. In addition, the magnitudes of the violations for both the second law and weak cosmic censorship conjecture are dependent on the charge Q, constant scalar curvature f'(R_0), AdS radius l, dimension parameters p, and their variations.

Highlights

Thought procedure was developed by Wald to test the stability of event horizons of black holes interacting with test particles or fields [3]
We have verified the thermodynamic laws of black holes under charged particle absorption
We further examined the validity of the weak cosmic censorship conjecture in the higherdimensional f (R) AdS black holes

Summary

Introduction

Ref. [42] stated that the laws of thermodynamics and weak cosmic censorship conjecture can be tested when the charged particle dropped into the black hole. The first law of thermodynamics of higher-dimensional Reissner–Nordström black hole was found to be valid under charged particle absorption. Among the researches mentioned above, the weak cosmic censorship conjecture of higher-dimensional f (R) black holes under charged particle absorption has not yet been reported. We will use the test particle model to study the thermodynamic laws and weak cosmic censorship conjecture of the higher-dimensional f (R) black holes. We find that the first law is still valid in different phase spaces, and the extremal black holes are still extremal after an absorption of the external particle. 4, the laws of thermodynamics of higher-dimensional f (R) AdS black holes are checked in the different phase spaces. [60,62], thermodynamics of higher-dimensional f (R) AdS black holes in different phase spaces have been reported. We can further study the validity of the laws of thermodynamics in different phase spaces under the particle absorption

Thermodynamics in the normal phase space

Thermodynamics in the extended phase space

Weak cosmic censorship conjecture in the normal phase space

Weak cosmic censorship conjecture in the extended phase space

Discussion and conclusions