Phase transition structure and breaking of universal nature of central charge criticality in a Born-Infeld $AdS$ black hole

Abstract

In this paper we have considered the thermodynamics of a Born-Infeld $AdS$ black hole using inputs from the dual boundary field theory. Here, we have varied the cosmological constant $\Lambda$ and the Newton's gravitational constant $G$ along with the Born-Infeld parameter $b$ in the bulk. A novel universal critical behaviour of the central charge (occurring in the boundary conformal field theory) in extended black hole thermodynamics for charged black holes has been recently observed \cite{mann1}, and we have extended this study to Born-Infeld $AdS$ black holes. The Born-Infeld parameter has the dimension of inverse length, therefore, when considered in the first law of thermodynamics of the bulk in the mixed form which includes the central charge of the boundary conformal field theory, it modifies the thermodynamic volume and the chemical potential (which are conjugate to pressure and central charge respectively). We observe that due to this inclusion of the Born-Infeld non-linearity in this analysis, the universal nature of the critical value of the central charge observed in \cite{mann1} breaks down. We also observe an interesting behaviour of the free energy of the black hole with Hawking temperature due to the variations in both the central charge and the Born-Infeld parameter. It is also observed in our analysis that for a sufficiently small value of the Born-Infeld parameter (small value of this parameter has more prominent non-linear effects), there exists a critical value of the temperature below which no black hole can exist.

arXiv commentThis revised version of the manuscript has been accepted for publication in Physical Review D

References in corpus (41)

• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Enthalpy and the Mechanics of AdS Black Holes
• The Unruh effect and its applications
• Black hole chemistry: thermodynamics with Lambda
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Pressure and volume in the first law of black hole thermodynamics
• The cosmological constant and the black hole equation of state
• Phases of R-charged Black Holes, Spinning Branes and Strongly Coupled Gauge Theories
• Holographic Heat Engines
• Moduli, Scalar Charges, and the First Law of Black Hole Thermodynamics
• Born-Infeld black holes in the presence of a cosmological constant
• Black Hole Chemistry
• Compressibility of rotating black holes
• Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields
• AdS and Lifshitz Black Holes in Conformal and Einstein-Weyl Gravities
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Holographic Thermodynamics Requires a Chemical Potential for Color
• Thermodynamics of AdS Black Holes: Central Charge Criticality
• Holographic Black Hole Chemistry
• Decay of accelerated protons and the existence of the Fulling-Davies-Unruh effect
• Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in $Ad{S}_5\times S^5$ spacetime
• Smarr's formula for black holes with non-linear electrodynamics
• Bose condensation and branes
• Joule-Thomson expansion of $d$-dimensional charged AdS black holes
• Chemical Potential in the First Law for Holographic Entanglement Entropy
• Thermodynamics of Charged, Rotating, and Accelerating Black Holes
• Decay of accelerated particles
• Higher Order Corrections to Holographic Black Hole Chemistry
• Pressure and compressibility of conformal field theories from the AdS/CFT correspondence
• Near-horizon aspects of acceleration radiation by free fall of an atom into a black hole
• Parametric phase transition for Gauss-Bonnet AdS black hole
• A Microscopic Description of Thermodynamic Volume in Extended Black Hole Thermodynamics
• Acceleration radiation of an atom freely falling into a Kerr black hole and near-horizon conformal quantum mechanics
• Rainbow black hole thermodynamics and the generalized uncertainty principle
• Breakdown of the Equal Area Law for Holographic Entanglement Entropy
• Phase transitions in Born-Infeld AdS black holes in D-dimensions
• Phase transitions in D-dimensional Gauss-Bonnet-Born-Infeld AdS black holes

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