Thermodynamics and weak cosmic censorship conjecture with pressure in the rotating BTZ black holes

TL;DR

This paper examines the thermodynamic laws and weak cosmic censorship conjecture in rotating BTZ black holes when a charged fermion is absorbed, revealing conditions under which these principles hold or are violated, especially considering pressure effects.

Contribution

It provides a detailed analysis of thermodynamic laws and cosmic censorship in BTZ black holes with and without pressure, highlighting the impact of pressure on these fundamental principles.

Findings

First law remains valid with pressure.

Second law and censorship can be violated with pressure.

Extremal black holes remain stable after absorption.

Abstract

As a charged spinning fermion drops into a charged rotating BTZ black hole, we investigate the laws of thermodynamics and weak cosmic censorship conjecture with and without pressure respectively. For the case without pressure, the first law, second law, as well as the weak cosmic censorship are found to be valid. While for the case with pressure, though the first law is still valid, the second law and the weak cosmic censorship conjecture are found to be violable, depending on the charge, angular momentum, AdS radius, and their variations. In addition, in both cases, the configurations of the extremal black holes are found to be stable since the final states of the extremal black holes are still extremal black holes. While for the near-extremal black holes, their configurations are not stable.