Abstract
In this work, we investigate the thermodynamical behavior of charged AdS black holes from f(R) gravity corrections with a constant Ricci scalar curvature in the grand-canonical ensemble. Using the holographic entanglement entropy, we show that the physical observables behave as in the case of the thermal entropy. By performing numerical computations associated with the thermodynamical quantities versus the entanglement entropy, we confirm that the same phase portrait persists in the holographic framework. In the grand-canonical ensemble, the present result supports the former finding which reveals that the charged f(R) AdS black holes behave much like RN-AdS black holes.
Highlights
In this work, we investigate the thermodynamical behavior of charged AdS black holes from f (R) gravity corrections with a constant Ricci scalar curvature in the grandcanonical ensemble
In the case of four dimensional charged AdS blacks in the R + f (R) gravity with a constant curvature in the grand canonical ensemble, the phase transition has been investigated in some details
We have investigated the thermodynamic and the geothermodyanamic behaviors in the grand-canonical ensemble by fixing the electric potential of the charged AdS black holes in the f (R) gravity in four dimensions
Summary
It turns out that a four-dimensional charged AdS black hole solution in the R + f (R) gravity with constant curvature has been obtained with its thermodynamic quantities. The coexistence curve and the density number of molecules for such a black hole solution have been dealt with in [35] It has been studied the phase transition in the canonical ensemble for a black hole having fixed charges [32]. To understand such activities, consider the RN-AdS black hole [34]. Having discussed the thermodynamic quantities on such gravity backgrounds, we move to investigate the associated phase transition
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
