Phase structures and critical behavior of rational non-linear electrodynamics Anti de Sitter black holes in Rastall gravity
Sekhmani Y. Gogoi D.J. Myrzakulov R. Rayimbaev J.
1 April 2024Institute of Physics
Communications in Theoretical Physics
2024#76Issue 4
This research paper presents a black hole solution with a rational nonlinear electrodynamics source within the Rastall gravity framework. The paper analyzes the thermodynamic properties of the solution in normal phase space and explores its critical behavior. The phase structure is examined using the extended first law of thermodynamics, with the cosmological constant Λ serving as pressure P. The isotherms exhibit van der Waals behavior at small values of horizon r +. The paper also investigates the Gibbs free energy behavior and finds two critical points with two pressures where the re-entrant phase transition occurs and disappears. We also explore the prevalent microstructure of black holes in Ruppeiner geometry, uncovering significant deviations in the nature of particle interactions from conventional practice. Moreover, the thermodynamic geometry is analyzed using the Ruppeiner formalism, with the normalized Ricci scalar indicating possible point-phase transitions of the heat capacity, and the normalized extrinsic curvature having the same sign as the normalized Ricci scalar. The three-phase transitions of the heat capacity are those that we find for the normalized Ruppeiner curvatures. Thus, there is an absolute correspondence.
black hole , Phase structures , Rastall gravity
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Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics, Astana, 010009, Kazakhstan
L. N. Gumilyov Eurasian National University, Astana, 010008, Kazakhstan
Department of Physics, Moran College, Charaideo, Assam, Moranhat, 785670, India
Theoretical Physics Division, Centre for Atmospheric Studies, Dibrugarh University, Assam, Dibrugarh, 786004, India
New Uzbekistan University, Movarounnahr Str. 1, Tashkent, 100000, Uzbekistan
University of Tashkent for Applied Sciences, Gavhar Str. 1, Tashkent, 100149, Uzbekistan
National University of Uzbekistan, Tashkent, 100174, Uzbekistan
Ratbay Myrzakulov Eurasian International Centre for Theoretical Physics
L. N. Gumilyov Eurasian National University
Department of Physics
Theoretical Physics Division
New Uzbekistan University
University of Tashkent for Applied Sciences
National University of Uzbekistan
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