AUTHOR=Yasir Muhammad , Lining Tong , Tiecheng Xia , Ditta Allah 

TITLE=Thermal geometries and the Joule–Thomson expansion of modified charged and slowly rotating black holes

JOURNAL=Frontiers in Physics

VOLUME=Volume 11 - 2023

YEAR=2023

URL=https://www.frontiersin.org/journals/physics/articles/10.3389/fphy.2023.1170683

DOI=10.3389/fphy.2023.1170683

ISSN=2296-424X

ABSTRACT=Thermodynamics of charged and slowly rotating black holes in 4D gauss-bonnet gravity have
attracted a great deal of attentions due to its intrinsic complications and rich phase structures.
However, the thermodynamic volume and entropy are incorrect in some literatures. In this paper,
we revisit the thermodynamics of charged and slowly rotating black holes and provide the correct
thermodynamic volume and entropy. Thermodynamic geometries are a powerful tool to study
the microstructure of black holes. Based on the Hessian matrix of black hole mass, we introduce
thermodynamic geometric methods and give its scalar curvature (Ruppeiner and Weinhold).
Furthermore, we investigate the Joule-Thomson expansion of slowly rotating black hole in 4D
gauss-bonnet gravity in this research. Interestingly, we explicit the expression of Joule-Thomson
coefficient is obtained from the basic formulas of enthalpy and temperature. Then, we obtain the
isenthalpic curve in T − P graph and demonstrate the cooling-heating region by the inversion
curve. The inversion temperature and inversion curves are obtained, we investigate the similarities
and differences between van der Waals fluids and charged fluids.