Thermodynamics and overcharging problem in the extended phase spaces of charged AdS black holes with cloud of strings and quintessence under charged particle absorption

TL;DR

This paper investigates the thermodynamics and overcharging issues of charged AdS black holes with cloud of strings and quintessence under particle absorption, analyzing the first and second laws in extended phase space.

Contribution

It introduces a comprehensive analysis of thermodynamics and overcharging in charged AdS black holes with additional fields, considering extended phase space variables.

Findings

First law of thermodynamics is satisfied.

Second law of thermodynamics is indefinite.

Black holes cannot be overcharged near extremality.

Abstract

The thermodynamics and overcharging problem in the RN-AdS black hole with the cloud of strings and quintessence are investigated by absorption of scalar particle and fermion in the extend phase space. The cosmological constant is treated as the pressure with a conjugate volume. Besides, the parameters related to quintessence and cloud of strings are treated as thermodynamic variables. Finally we find the first law of thermodynamics is satisfied and the second law of thermodynamics is indefinite. Furthermore, the near-extremal and extremal black holes can not be overcharged.