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

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 ReisnerNordstrom 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. & COPY; 2023 Published by Elsevier B.V. This is an open access article under the CC BY license (http:// creativecommons .org /licenses /by /4 .0/). Funded by SCOAP3.

Automated summary

In this work, the maximum force conjecture and thermal fluctuations for different black holes were explored. The thermodynamical parameters for these black holes were reviewed and the stability conditions were examined. The stability of the black holes in different ensembles was compared to determine which one is consistent.