$P-V$ criticality and geometrothermodynamics of black holes with Born-Infeld type nonlinear electrodynamics

Understand

In this paper, we take into account the black hole solutions of Einstein gravity with logarithmic and exponential forms of nonlinear electrodynamics.

• We consider $\Lambda$ as a dynamical pressure to study the analogy of the black holes with the Van der Waals system.
• We plot P-v, T-v and G-T diagrams and investigate the phase transition of adS black holes in the canonical ensemble.
• We study the nonlinearity effects of electrodynamics and see how the power of nonlinearity affects critical behavior.