# Thermodynamics and weak cosmic censorship conjecture in Born-Infeld-anti-de Sitter black holes

## TL;DR

This paper investigates the validity of thermodynamic laws and the weak cosmic censorship conjecture in Born-Infeld-anti-de Sitter black holes during charged particle absorption, revealing phase space-dependent violations of the second law.

## Contribution

It demonstrates that the weak cosmic censorship conjecture remains valid regardless of phase space, while the second law of thermodynamics can be violated in extended phase space.

## Key findings

- Second law violated for some black holes in extended phase space
- Weak cosmic censorship conjecture remains valid in all cases
- Metric function shift indicates phase space independence of censorship

## Abstract

We examine the laws of thermodynamics and the weak cosmic censorship conjecture in the normal and extended phase space of Born-Infeld-anti-de Sitter black hole by considering a charged particle absorption. In the normal phase space, the first and second law of thermodynamics as well as the weak cosmic censorship are still valid. However, in the extended phase space, the second law of thermodynamics is violated for double-horizon black holes and part of single-horizon black holes. The first law of thermodynamics and the weak cosmic censorship conjecture are still valid for all black holes. In addition, we find that the shift of the metric function, which determines the locations of the horizons, takes the same form at the minimum point in both the normal and extended phase space, indicating that the weak cosmic censorship conjecture is independent of the thermodynamic phase space.