Thermodynamics and weak cosmic censorship conjecture in (2+1)-dimensional regular black hole with nonlinear electrodynamics sources

TL;DR

This paper investigates the thermodynamics and weak cosmic censorship conjecture of a (2+1)-dimensional regular black hole with nonlinear electrodynamics, finding that the first law and censorship hold, but the second law can be violated in extended phase space.

Contribution

It analyzes the validity of thermodynamic laws and the weak cosmic censorship conjecture in both normal and extended phase spaces for this specific black hole model.

Findings

First law of thermodynamics holds in both phase spaces.

Weak cosmic censorship conjecture remains valid in both phase spaces.

Second law of thermodynamics is violated in extended phase space.

Abstract

We study the dynamical behavior of spinor particles, and get the energy-momentum relation of charged particles by solving the Dirac equation. Based on the energy-momentum relation, we investigate the laws of thermodynamics and the weak cosmic censorship conjecture for the (2+1)-dimensional regular black hole with nonlinear electrodynamics sources in the normal phase space and the extended phase space. Our results show that the first law of thermodynamics as well as the weak cosmic censorship conjecture are valid in both the phase spaces. However, the second law of thermodynamics is violated in the extended phase space, implying that the first law and weak cosmic censorship conjecture do not depend on the phase space while the second law depends. In addition, in the extended phase space, we find the configurations of the extremal and near-extremal black holes will not be changed for the final states and initial states are the same.