Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides

Abstract

The thermodynamic criticality of the AdS black holes serves as an important structure during the thermal phase transition. This paper discusses about the critical points and their topology during thermal phase transitions of the Born-Infeld AdS black holes. We make such investigations using two different topological approaches, namely, using Duan's topological current $\varphi$-mapping theory, and the off-shell free energy. Within Duan's formalism, we observe that for a given value of the Born-Infeld parameter $b$, there exists an associated electric charge parameter $Q$, which is highly sensitive to the topological phase transitions. This way we examine the connections of the first-order phase transition and the topological nature of the critical points. We find that the topological nature has a possible breakdown in certain parametric ranges. In effect, we determine the unconventional and the conventional phase critical points as the creation (topologically vortex) and annihilation (topologically anti-vortex) points (pairs). As the second approach, we call the off-shell free energy to determine the topological classes: of which one corresponds to the AdS-Schwarzschild black hole phases, while the other provides a possible topological phase transition. Here we also reveal a novel phase transition between two unstable phases, namely, the unstable small black hole and the intermediate black holes. For a certain parametric values of the Born-Infeld parameter and the pressure, we also study the different topological descriptions that inevitably correspond to the AdS-Reissner-Nordstr$\Ddot{o}$m black hole phases. As a consistency check of the critical points during the topological phase transitions, we study the vortex/anti-vortex annihilation thermodynamics from local as well as global thermodynamic viewpoint.

70 pages and 47 figures, a section about CFT has been added and the title improved

References in corpus (44)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• Light ring stability in ultra-compact objects
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Black Hole Solutions as Topological Thermodynamic Defects
• Superfluid Black Holes
• Topological Charge and Black Hole Photon Spheres
• Topology of black hole thermodynamics in Lovelock gravity
• Critical behaviour and microscopic structure of charged AdS black holes via an alternative phase space
• Consistent thermodynamics and topological classes for the four-dimensional Lorentzian charged Taub-NUT spacetimes
• Topology of critical points and Hawking-Page transition
• Revisiting thermodynamic topologies of black holes
• Classifying topology of consistent thermodynamics of the four-dimensional neutral Lorentzian NUT-charged spacetimes
• Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in $Ad{S}_5\times S^5$ spacetime
• Holographic CFT Phase Transitions and Criticality for Charged AdS Black Holes
• New perspective for black hole thermodynamics in Gauss-Bonnet-Born-Infeld massive gravity
• Bose condensation and branes
• Thermodynamics of Einstein-Born-Infeld black holes with negative cosmological constant
• Topological interpretation for phase transitions of black holes
• Chemical Potential in the First Law for Holographic Entanglement Entropy
• Topological classification and black hole thermodynamics
• Thermodynamics of Kerr-AdS black holes in the restricted phase space
• Thermodynamics of hairy black holes in Lovelock gravity
• Topology of equatorial timelike circular orbits around stationary black holes
• Bulk-boundary thermodynamic equivalence: a topology viewpoint
• Topology of nonlinearly charged black hole chemistry via massive gravity
• Distinct topological configurations of equatorial timelike circular orbit for spherically symmetric (hairy) black holes
• Critical Phenomena of Born-Infeld-de Sitter Black Holes in Cavities
• Vortex/anti-vortex pair creation in black hole thermodynamics
• Equatorial timelike circular orbits around generic ultracompact objects
• Topology in thermodynamics of regular black strings with Kaluza-Klein reduction
• Effects of Born-Infeld electrodynamics on black hole shadows
• Observational Appearances of Magnetically Charged Black Holes in Born-Infeld Electrodynamics
• Bekenstein-Hod Universal Bound on Information Emission Rate Is Obeyed by LIGO-Virgo Binary Black Hole Remnants
• $2.6M_{\odot }$ Compact Object and Neutron Stars within Eddington-Inspired Born-Infeld Theory of Gravity
• Neutron stars in the braneworld within the Eddington-inspired Born-Infeld gravity
• Topological classes of BTZ black holes
• Breakdown of the Equal Area Law for Holographic Entanglement Entropy
• Reentrant phase transitions in Einstein-Maxwell-scalar black holes
• Revisiting the Second Law and Weak Cosmic Censorship Conjecture in High-Dimensional Charged-AdS Black Hole: an Additional Assumption
• The irreducible mass and the horizon area of LIGO's black holes
• Born-Infeld boson stars
• Cosmological implications of Born-Infeld-$f(R)$ gravity

Cited by in corpus (11)

• Topological classes of thermodynamics of the static multi-charge AdS black holes in gauged supergravities: novel temperature-dependent thermodynamic topological phase transition
• Thermodynamic topology of Phantom AdS Black Holes in Massive Gravity
• Universal thermodynamic topological classes of rotating black holes
• Novel topological classes in black hole thermodynamics
• Thermodynamic Topology of $D=4,5$ Horava Lifshitz Black Hole in Two Ensembles
• Universal thermodynamic topological classes of static black holes in Conformal Killing Gravity
• Thermodynamic topological classes of the rotating, accelerating black holes
• Lyapunov Exponents, Phase Transitions, and Chaos Bound of ModMax AdS Black Holes
• Riemann Surfaces and Winding Numbers of Rényi Phase Structure of Charged-Flat Black Holes
• Topology of black hole thermodynamics: A brief review
• The $D$-dimensional charged AdS black holes solutions in polytropic dark energy from Barrow entropy