Extended phase space thermodynamics and $P-V$ criticality: Brans-Dicke-Born-Infeld vs Einstein-Born-Infeld-dilaton black holes

Abstract

Motivated by thermodynamic analogy of black holes and Van der Waals liquid/gas system, in this paper, we study $P-V$ criticality of both dilatonic Born-Infeld black holes and their conformal solutions, Brans-Dicke-Born-Infeld solutions. Due to the conformal constraint, we have to neglect the old Lagrangian of dilatonic Born-Infeld theory and its black hole solutions, and introduce a new one. We obtain spherically symmetric nonlinearly charged black hole solutions in both Einstein and Jordan frames and then, we calculate the related conserved and thermodynamic quantities. After that, we extend the phase space by considering the proportionality of the cosmological constant and thermodynamical pressure. We obtain critical values of thermodynamic coordinates through numerical methods and plot relevant $P-V$ and $G-T$ diagrams. Investigation of the mentioned diagrams helps us to study thermodynamical phase transition. We also analyze the effects of varying different parameters on the phase transition of black holes.

18 pages, 11 captioned figures and 6 tables. New interesting sections are added, typos fixed, Accepted in EPJC

References in corpus (14)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Effective Holographic Theories for low-temperature condensed matter systems
• From Linear SUSY to Constrained Superfields
• Holography of Dyonic Dilaton Black Branes
• Bouncing Eddington-inspired Born-Infeld cosmologies: an alternative to Inflation ?
• Cosmology with Eddington-inspired Gravity
• Domain Wall Holography for Finite Temperature Scaling Solutions
• Thermodynamics of black holes in $(n+1)$-dimensional Einstein-Born-Infeld dilaton gravity
• Thermal behavior of charged dilatonic black branes in AdS and UV completions of Lifshitz-like geometries
• Rotating Black Branes in Brans-Dicke-Born-Infeld Theory
• Extended phase space of Black Holes in Lovelock gravity with nonlinear electrodynamics
• Strange Metallic Behavior in Anisotropic Background
• N=2 Born-Infeld Attractors
• The Pioneer Anomaly: Seeking an explanation in newly recovered data

Cited by in corpus (14)

• Behavior of quasinormal modes and Van der Waals-like phase transition of charged AdS black holes in massive gravity
• Heat Engines for Dilatonic Born-Infeld Black Holes
• Dyonic (A)dS Black Holes in Einstein-Born-Infeld Theory in Diverse Dimensions
• Charged AdS black holes in Gauss-Bonnet gravity and nonlinear electrodynamics
• Topological interpretation of extremal and Davies-type phase transitions of black holes
• Topology in thermodynamics of regular black strings with Kaluza-Klein reduction
• $P-v$ criticality of a specific black hole in $f(R)$ gravity coupled with Yang-Mills field
• Reentrant phase transition of Born-Infeld-dilaton black holes
• Extended phase space thermodynamics of black holes: A study in Einstein's gravity and beyond
• Triple points and phase diagrams of Born-Infeld AdS black holes in 4D Einstein-Gauss-Bonnet gravity
• Entropy of higher-dimensional charged de Sitter black holes and phase transition
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Phase Transition of the Horava-Lifshitz AdS black holes
• Phase transition of black holes in Brans--Dicke Born--Infeld gravity through geometrical thermodynamics