Exploring Phase Transitions in Anti-de Sitter Black Holes

Recent research by Hossein Ghaffarnejad and Elham Ghasemi explores the thermodynamic phase transitions of Anti-de Sitter Reissner-Nordström black holes within the framework of exotic Einstein-Maxwell gravities. The study, titled "Thermodynamic phase transition of Anti-de Sitter Reissner-Nordström black holes with exotic Einstein-Maxwell gravities," was submitted to arXiv on June 22, 2023, and has undergone revisions, with the latest version released on August 31, 2024.

The authors investigate the implications of including directional interaction terms between the electromagnetic vector field and the metric tensor field, which are part of the exotic models they analyze. They employ a perturbation series method to derive analytic solutions to the modified Reissner-Nordström black hole equations, addressing the non-linearity that prevents closed-form solutions.

Key findings include the examination of the Hawking-Page phase transition and the conditions for small and large black hole phase transitions. The research also assesses how the interaction terms influence the coexistence of various phases of the perturbed Anti-de Sitter Reissner-Nordström black hole.

This work contributes to the understanding of black hole thermodynamics and may have implications for theoretical models of cosmic phenomena, particularly in the context of dark energy and cosmic inflation. The findings can be accessed in detail through the paper available on arXiv: arXiv:2306.17296.