Applications of Thermodynamic Geometries to Conformal Regular Black Holes: A Comparative Study

In this paper, we investigate the thermal stability and thermodynamic geometries of non-rotating/rotating charged black holes. For these black holes, we apply barrow entropy to determine the physical quantities such as mass and temperature of the system and find their stability through first and second phase transitions of the heat capacity. We analyze the effects of scalar charge Q and hair parameter lambda on black holes properties by taking both positive and negative values of these parameters. It is noted that heat capacity provide the stable, unstable regions and phase transition points for both black holes. To investigate the thermodynamic geometry of these black holes, various techniques such as Ruppeiner, Weinhold, Quevedo, and HPEM metrics are considered. It is observed that Weinhold, Quevedo, and HPEM give attractive/repulsive behavior of particles in stable/unstable regions of black holes.

Automated summary

In this paper, the thermal stability and thermodynamic geometries of non-rotating/rotating charged black holes are investigated. The physical quantities such as mass and temperature of the system are determined using barrow entropy, and their stability is found through the first and second phase transitions of the heat capacity. The effects of scalar charge Q and hair parameter lambda on black hole properties are analyzed by considering both positive and negative values of these parameters. It is observed that heat capacity provides the stable, unstable regions, and phase transition points for both black holes. Various techniques such as Ruppeiner, Weinhold, Quevedo, and HPEM metrics are considered to analyze the thermodynamic geometry of these black holes. It is found that Weinhold, Quevedo, and HPEM exhibit attractive/repulsive behavior of particles in the stable/unstable regions of black holes.