Multicritical Phase Transitions in Multiply Rotating Black Holes

Abstract

We show that multi-critical points in which more than three phases coalesce are present in multiply rotating Kerr-AdS black holes in $d$-dimensions. We explicitly present a quadruple point for a triply rotating black hole in $d=8$ and a quintuple point for a quadruply rotating black hole in $d=10$. The maximal number of distinct phases $n$ is one larger than the maximal number of independent rotations, and we outline a method for obtaining the associated $n$-tuple point. Situations also exist where more than three phases merge at sub-maximal multi-critical points. Our results show that multi-critical points in black hole thermodynamics are more common than previously thought, with systems potentially supporting many phases as long as a sufficient number of thermodynamic variables are present.

arXiv commentLatex, 5 pages, 5 figures

References in corpus (54)

• P-V criticality of charged AdS black holes
• Enthalpy and the Mechanics of AdS Black Holes
• Black hole chemistry: thermodynamics with Lambda
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• The First Law of Thermodynamics for Kerr-Anti-de Sitter Black Holes
• The General Kerr-de Sitter Metrics in All Dimensions
• Reentrant Phase Transitions in Rotating AdS Black Holes
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• Rotating Black Holes in Higher Dimensions with a Cosmological Constant
• Holographic Heat Engines
• Kerr-AdS analogue of triple point and solid/liquid/gas phase transition
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• Black Hole Chemistry
• Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
• Superfluid Black Holes
• Quasilocal Thermodynamics of Dilaton Gravity coupled to Gauge Fields
• Five-Dimensional Gauged Supergravity Black Holes with Independent Rotation Parameters
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Holographic Thermodynamics Requires a Chemical Potential for Color
• Isolated critical point from Lovelock gravity
• Holographic thermalization, quasinormal modes and superradiance in Kerr-AdS
• Thermodynamics of AdS Black Holes: Central Charge Criticality
• Holographic Black Hole Chemistry
• Classical instability of Kerr-AdS black holes and the issue of final state
• Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables
• 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
• Black Rings in (Anti)-deSitter space
• Bose condensation and branes
• Chemical Potential in the First Law for Holographic Entanglement Entropy
• Ultraspinning limits and super-entropic black holes
• Separability of the Hamilton-Jacobi and Klein-Gordon Equations in Kerr-de Sitter Metrics
• Higher-dimensional origin of extended black hole thermodynamics
• Thermodynamics of Charged, Rotating, and Accelerating Black Holes
• Critical Phenomena of Charged de Sitter Black Holes in Cavities
• Conserved Charges of Higher D Kerr-AdS Spacetimes
• Multi-critical Points in Black Hole Phase Transitions
• Thermodynamics of Gauss-Bonnet-de Sitter Black Holes
• Critical Phenomena of Born-Infeld-de Sitter Black Holes in Cavities
• Bulk/Boundary Thermodynamic Equivalence, and the Bekenstein and Cosmic-Censorship Bounds for Rotating Charged AdS Black Holes
• Higher Order Corrections to Holographic Black Hole Chemistry
• Holographic Complexity and Thermodynamic Volume
• Black strings with negative cosmological constant: inclusion of electric charge and rotation
• A possible four-phase coexistence in a single-component system
• Phase Transitions in 4D Gauss-Bonnet-de Sitter Black Holes
• Geons with spin and charge
• Snapping swallowtails in accelerating black hole thermodynamics
• Entropic patchiness drives multi-phase coexistence in discotic colloid-depletant mixtures
• Thermodynamics of de Sitter Black Holes with Conformally Coupled Scalar Fields
• Breakdown of the Equal Area Law for Holographic Entanglement Entropy
• The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point
• The geometry of high-dimensional phase diagrams: I. Generalized Gibbs Phase Rule
• The quantization of a Kerr-AdS black hole

Cited by in corpus (9)

• Barrow Entropy and AdS Black Holes in RPS Thermodynamics
• Multicritical Phase Transitions in Lovelock AdS Black Holes
• Thermodynamic schemes of charged BTZ-like black holes in arbitrary dimensions
• Dynamic behaviours of black hole phase transitions near quadruple points
• Black holes thermodynamics with CFT re-scaling
• Thermodynamically Stable Phases of Asymptotically Flat Lovelock Black Holes
• Generalized holographic complexity of rotating black holes
• Holographic Thermodynamics of Higher-Dimensional AdS Black Holes with CFT Rescaling
• Overcoming Barriers: Kramers' Escape Rate Analysis of Metastable Dynamics in First-Order Multi-Phase Transitions