Phase structures and critical behavior of rational non-linear electrodynamics Anti de Sitter black holes in Rastall gravity

• DOI: 10.1088/1572-9494/ad30f4
• Publication Date: 2024-03-07T09:20:26Z
• Authors: Yassine Sekhmani; Dhruba Jyoti Gogoi; Ratbay Myrzakulov; Javlon Rayimbaev
• Keywords: Critical point (mathematics)

This research paper presents a black hole solution with rational non-linear electrodynamics source in the Rastall gravity framework. The analyzes thermodynamic properties of normal phase space and explores its critical behavior. structure is examined using extended first law thermodynamics, cosmological constant $\Lambda$ serving as pressure $P$. isotherms exhibit van der Waals behavior at small values horizon $r_+$. also investigates Gibbs free energy finds two points pressures where reentrant transition occurs disappears. On other hand, we explore prevalent microstructure holes Ruppeiner geometry, uncovering significant deviations nature particle interactions from conventional practice. Moreover, geometry analyzed formalism, normalized Ricci scalar indicating possible point-phase transitions heat capacity, extrinsic curvature having same sign scalar. three-phase capacity are those that find for curvatures. Thus, there an absolute correspondence.