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

TL;DR

This paper investigates the validity of thermodynamic laws and the weak cosmic censorship conjecture in higher-dimensional $f(R)$ AdS black holes during charged particle absorption, revealing violations in certain conditions.

Contribution

It demonstrates that the weak cosmic censorship conjecture can be violated in higher-dimensional near-extremal $f(R)$ AdS black holes, highlighting dependencies on multiple parameters.

Findings

Thermodynamic laws hold in normal phase space.

Second law of thermodynamics is invalid in extended phase space.

Violations of the weak cosmic censorship conjecture occur in higher-dimensional near-extremal black holes.

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.