Products of Thermodynamic Parameters for the Generalized Charged Rotating Black Hole and the Reissner-Nordstrom Black Hole with Global Monopole

TL;DR

This paper explores the thermodynamic properties of charged rotating black holes with a global monopole, analyzing horizon products and phase transitions, revealing some universal and non-universal quantities.

Contribution

It provides new calculations of thermodynamic products for these black holes, highlighting which are universal and which depend on black hole parameters.

Findings

Products of areas and entropies are mass-independent.

Surface gravity and temperature products are not universal.

Phase transition occurs under specific conditions.

Abstract

We investigate the thermodynamics of Kerr-Newman-Kasuya black hole and the Reissner-Nordstrom black hole with a global monopole on inner and outer horizons. Products of surface gravities, surface temperatures, Komar energies, electromagnetic potentials, angular velocities, areas, entropies, horizon radii and the irreducible masses at the Cauchy and the event horizons are calculated. It is observed that the product of surface gravities, surface temperature product and product of Komar energies, electromagnetic potentials and angular velocities at horizons are not universal quantities for these black holes. Products of areas and entropies at horizons are independent of masses of black holes. Heat capacity is calculated for the generalized charged rotating black hole and phase transition is observed, under certain conditions on r. ?E