Thermodynamics and Microstructures of Euler-Heisenberg Black Hole in a Cavity

Abstract

The Euler-Heisenberg black holes with quantum electrodynamics (QED) correction are embraced by a cavity in this paper, which serves as a boundary of the black hole spacetime and contributes to the equilibrium of the system. We explore the thermodynamic properties of the black hole, including the phase transitions and phase structures. The small/large black hole phase transition occurs for a negative QED parameter, while the reentrant phase transition can be observed for a small positive QED parameter. Then the thermodynamic geometry is investigated to diagnose microscopic interactions of black hole thermodynamic systems. For the reentrant phase transition, the small black holes are dominated by repulsion for the first-order coexistence curve, while the interaction between the small black hole molecules could be attractive or repulsive for the small/large black hole phase transition.

AdS Black Hole Thermodynamics and Microstructures from f(Q)$f(Q)$ Gravitation

“…In our study on thermodynamical quantities of BH, we can conclude that in quadratic f (Q) gravity, AdS BH has a bigger heat capacity than in the STEGR theory of gravity (GR analog). Apart from that, from the study of BH microstructure, we found in the graphical representation that above a specific point of T P , the interaction between the particles is strongly repulsive, which shows almost the same behavior as the microstructures of Euler-Heisenberg BH in work [53] In our future studies, it would be interesting to obtain and investigate AdS BH solutions within other f (Q) gravity theories and in the presence of additional matter fields, such as scalar field, spin 1/2 Dirac spinors, spin-2 massive fields, etc. Also, it would be of special interest to test the point-particle dynamics around such black hole solutions and derive effective potential.…”