Maximal forces and thermodynamic quantities of specific black holes in modified theories of gravity

Abstract

In this work, we explore the maximum force conjecture and thermal fluctuations for different black holes such as the brane-world black hole, de Rham-Gabadadze-Tolley black hole, Black-Bounce Reisner-Nordström black hole, and renormalization group improved Schwarzchild black hole. Thermodynamical parameters for these black holes are reviewed, including temperature, pressure, entropy, specific heat capacity at constant pressure and volume, the ratio of these heat capacities, Gibbs free energy, as well as Helmholtz free energy. In order to examine the stability conditions of the mentioned black holes, exponential corrected entropy is employed. The global and local stability of these black holes in a grand canonical and canonical ensemble is explored. Additionally, we compare the stability of the aforementioned black holes to inferred that which one is consistent.