The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2

Abstract

We study the near horizon limit of a four dimensional extreme rotating black hole. The limiting metric is a completely nonsingular vacuum solution, with an enhanced symmetry group SL(2,R) x U(1). We show that many of the properties of this solution are similar to the AdS_2 x S^2 geometry arising in the near horizon limit of extreme charged black holes. In particular, the boundary at infinity is a timelike surface. This suggests the possibility of a dual quantum mechanical description. A five dimensional generalization is also discussed.

21 pages

Cited by in corpus (350)

• Massive Gravity
• The Kerr/CFT Correspondence
• Holographic Entanglement Entropy: An Overview
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Warped AdS_3 Black Holes
• Near-horizon symmetries of extremal black holes
• Hidden Conformal Symmetry of the Kerr Black Hole
• CFT Duals for Extreme Black Holes
• Rotating Attractors
• Classification of near-horizon geometries of extremal black holes
• Black Hole Superradiance From Kerr/CFT
• Kerr-AdS/CFT Correspondence in Diverse Dimensions
• Black holes, hidden symmetries, and complete integrability
• Near Extremal Black Hole Entropy as Entanglement Entropy via AdS2/CFT1
• Hawking Radiation from Rotating Black Holes and Gravitational Anomalies
• Spinning black holes in Einstein--Gauss-Bonnet--dilaton theory: non-perturbative solutions
• No Dynamics in the Extremal Kerr Throat
• Stationary Metrics and Optical Zermelo-Randers-Finsler Geometry
• Quasinormal modes of nearly extremal Kerr spacetimes: spectrum bifurcation and power-law ringdown
• Chiral Scale and Conformal Invariance in 2D Quantum Field Theory
• What is a chiral 2d CFT? And what does it have to do with extremal black holes?
• Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
• Static response and Love numbers of Schwarzschild black holes
• Kerr-CFT and gravitational perturbations
• Cargese Lectures on the Kerr/CFT Correspondence
• Near Extremal Kerr Entropy from AdS_2 Quantum Gravity
• Greybody Factors and Charges in Kerr/CFT
• Branching of quasinormal modes for nearly extremal Kerr black holes
• Hidden Symmetry of Vanishing Love
• 5D Rotating Black Holes and the nAdS${}_2$/nCFT${}_1$ Correspondence
• Holographic Duals of Kaluza-Klein Black Holes
• Another Realization of Kerr/CFT Correspondence
• Extremal vacuum black holes in higher dimensions
• Rotating black holes in 4d gauged supergravity
• Observational Signature of High Spin at the Event Horizon Telescope
• Hybrid classical integrability in squashed sigma models
• Stationary black holes and attractor mechanism
• Yangian symmetry in deformed WZNW models on squashed spheres
• Strong cosmic censorship for charged de Sitter black holes with a charged scalar field
• The Kerr/CFT Correspondence and String Theory
• Anti-de Sitter space, squashed and stretched
• Love symmetry
• Conformal Symmetry for Black Holes in Four Dimensions
• The Kerr/CFT correspondence and its extensions: a comprehensive review
• Erice Lectures on Black Holes and Attractors
• Kerr/CFT Correspondence in the Low Energy Limit of Heterotic String Theory
• Anisotropic Conformal Infinity
• Higher Dimensional Kerr-AdS Black Holes and the AdS/CFT Correspondence
• Extremal Kerr black hole/CFT correspondence in the five dimensional Gödel universe
• Particle on the Innermost Stable Circular Orbit of a Rapidly Spinning Black Hole
• Microscopic Theory of Black Hole Superradiance
• Extremal Kerr black holes as amplifiers of new physics
• Perturbations of near-horizon geometries and instabilities of Myers-Perry black holes
• Real-time correlators in Kerr/CFT correspondence
• CFT Duals for Attractor Horizons
• The RN/CFT Correspondence
• Near-Zone Symmetries of Kerr Black Holes
• Gravity Waves from Extreme-Mass-Ratio Plunges into Kerr Black Holes
• Hidden Yangian symmetry in sigma model on squashed sphere
• CFT Duals for Accelerating Black Holes
• Black hole uniqueness theorems in higher dimensional spacetimes
• Subtracted Geometry From Harrison Transformations
• Kerr-Bolt Spacetimes and Kerr/CFT Correspondence
• Horizon Instability of Extremal Kerr Black Holes: Nonaxisymmetric Modes and Enhanced Growth Rate
• Kermions: quantization of fermions on Kerr space-time
• Myers-Perry black holes with scalar hair and a mass gap: unequal spins
• T-Witts from the horizon
• Particle motion near high-spin black holes
• New boundary conditions for AdS${}_2$
• Gravity Waves from Kerr/CFT
• The CFT-interpolating Black Hole in Three Dimensions
• Extremal limit of the regular charged black holes in nonlinear electrodynamics
• Hyperboloidal framework for the Kerr spacetime
• Stability of warped AdS3 vacua of topologically massive gravity
• AdS${}_2$ Holography: Mind the Cap
• Entropy of Kaluza-Klein Black Hole from Kerr/CFT Correspondence
• Emerging AdS from Extremally Rotating NS5-branes
• Hopfing and Puffing Warped Anti-de Sitter Space
• Near Horizon Limits of Massless BTZ and Their CFT Duals
• Extremal Isolated Horizon/CFT Correspondence
• Sailing from Warped AdS_3 to Warped dS_3 in Topologically Massive Gravity
• Eigenvalue repulsions in the quasinormal spectra of the Kerr-Newman black hole
• Spinning black holes in shift-symmetric Horndeski theory
• Nearing Extremal Intersecting Giants and New Decoupled Sectors in N = 4 SYM
• Inspiral into Gargantua
• Effective Conformal Descriptions of Black Hole Entropy
• Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons
• Statistical Description of Rotating Kaluza-Klein Black Holes
• Uniqueness of Extremal Kerr and Kerr-Newman Black Holes
• Yet Another Realization of Kerr/CFT Correspondence
• Correlation Functions of Warped CFT
• Stringy Schroedinger truncations
• A note on the complex SYK model and warped CFTs
• Transient Instability of Rapidly Rotating Black Holes
• Extremal Black Holes in Dynamical Chern-Simons Gravity
• Two Virasoro symmetries in stringy warped AdS${}_3$
• Locality and anomalies in warped conformal field theory
• One-Loop Effective Action and Schwinger Effect in (Anti-) de Sitter Space
• Photon Emission Near Extreme Kerr Black Holes
• Isometry-preserving boundary conditions in the Kerr/CFT correspondence
• Magnetised Kerr/CFT correspondence
• All Vacuum Near-Horizon Geometries in $D$-dimensions with $(D-3)$ Commuting Rotational Symmetries
• Eigenvalue repulsions and quasinormal mode spectra of Kerr-Newman: an extended study
• Relativistic Dyson Rings and Their Black Hole Limit
• Scalar Love numbers and Love symmetries of 5-dimensional Myers-Perry black holes
• Mass of Kerr-Newman Black Holes in an external magnetic field
• Logarithmic Corrections to Kerr Thermodynamics
• Rotating BPS black holes in matter-coupled AdS(4) supergravity
• Causality Violation and Naked Time Machines in AdS_5
• Near-horizon Kerr Magnetosphere
• Special symmetries of the charged Kerr-AdS black hole of D=5 minimal gauged supergravity
• Vanishing Love of Black Holes in General Relativity: From Spacetime Conformal Symmetry of a Two-dimensional Reduced Geometry
• Emergent IR dual 2d CFTs in charged AdS5 black holes
• Force-Free Electrodynamics around Extreme Kerr Black Holes
• Hidden Conformal Symmetry of Extremal Black Holes
• On the uniqueness of extremal vacuum black holes
• Warped black holes in 3D general massive gravity
• NHEG Mechanics: Laws of Near Horizon Extremal Geometry (Thermo)Dynamics
• Near-horizon description of extremal magnetised stationary black holes and Meissner effect
• N=2 superparticle near horizon of extreme Kerr-Newman-AdS-dS black hole
• Near horizon geometry of extremal black holes and Banados-Silk-West effect
• Extremal Rotating Black Holes in the Near-Horizon Limit: Phase Space and Symmetry Algebra
• Transition from Inspiral to Plunge: A Complete Near-Extremal Trajectory and Associated Waveform
• Bootstrapping holographic warped CFTs or: how I learned to stop worrying and tolerate negative norms
• Maximum Observable Blueshift from Circular Equatorial Kerr Orbiters
• Novel CFT Duals for Extreme Black Holes
• Kerr-AdS and its Near-horizon Geometry: Perturbations and the Kerr/CFT Correspondence
• Gravitational waves from plunges into Gargantua
• Extremal Three-point Correlators in Kerr/CFT
• Conformal Symmetry for Rotating D-branes
• Extremal Rotating Black Holes in Einsteinian Cubic Gravity
• Microscopics of Extremal Kerr from Spinning M5 Branes
• Entanglement Entropy of Extremal BTZ
• Explaining Nonlinearities in Black Hole Ringdowns from Symmetries
• Perturbations of higher-dimensional spacetimes
• Classical model of elementary particle with Bertotti-Robinson core and extremal black holes
• Entanglement and chaos in warped conformal field theories
• Hawking radiation from covariant anomalies in 2+1 dimensional black holes
• The Black Hole Meissner Effect and Blandford-Znajek Jets
• Holographic description of Kerr-Bolt-AdS-dS Spacetimes
• Horizon instability of extremal Reissner-Nordström black holes to charged perturbations
• Breaking away from the near horizon of extreme Kerr
• On the Stress Tensor of Kerr/CFT
• Quantum Kerr-de Sitter black holes in three dimensions
• Extremal limit for charged and rotating 2+1-dimensional black holes and Bertotti-Robinson geometry
• Sudden breakdown of effective field theory near cool Kerr-Newman black holes
• Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion Gravity
• Gravitational Cardy Limit and AdS Black Hole Entropy
• Instability of higher dimensional extreme black holes
• Warped Black Holes in Lower-Spin Gravity
• Pair Production in Near Extremal Kerr-Newman Black Holes
• Spectroscopy of Extremal (and Near-Extremal) Kerr Black Holes
• From accelerating and Poincaré coordinates to black holes in spacelike warped AdS${}_3$, and back
• Extreme throat initial data set and horizon area--angular momentum inequality for axisymmetric black holes
• CFT duals on extremal rotating NUT black hole
• Conformal mechanics on rotating Bertotti-Robinson spacetime
• Constraining the spin parameter of near-extremal black holes using LISA
• Notes on the Hidden Conformal Symmetry in the Near Horizon Geometry of the Kerr Black Hole
• Zeta(n) via hyperbolic functions
• Self-similar accretion in thin disks around near-extremal black holes
• Microscopic Entropy of the Magnetised Extremal Reissner-Nordstrom Black Hole
• Rotating Black Holes in AdS, Extremality and Chaos
• Towards an understanding of the force-free magnetosphere of rapidly spinning black holes
• Bertotti-Robinson type solutions to Dilaton-Axion Gravity
• New Near Horizon Limit in Kerr/CFT
• Gravitational perturbations from NHEK to Kerr
• Charged Quantum Fields in AdS${}_2$
• Higher rank Killing tensors and Calogero model
• Conformal mechanics inspired by extremal black holes in d=4
• Solution of Dirac equation in the near horizon geometry of an extreme Kerr black hole
• Extremal black holes, Holography & Coarse graining
• Near horizon black holes in diverse dimensions and integrable models
• Three Dimensional Origin of AdS_2 Quantum Gravity
• Stability of charged solitons and formation of boson stars in 5-dimensional Anti-de Sitter space-time
• On the black hole limit of rotating fluid bodies in equilibrium
• Ultra-Spinning Gauged Supergravity Black Holes and their Kerr/CFT Correspondence
• Deformation of extremal black holes from stringy interactions
• Observability of spherical photon orbits in near-extremal Kerr black holes
• Photon Rings Around Warped Black Holes
• Near-horizon Extreme Kerr Magnetospheres
• Action-angle variables for the particle near extreme Kerr throat
• Quasinormal Modes and Love Numbers of Kerr Black Holes from AdS${}_2$ Black Holes
• Sur les corrections de la géométrie thermodynamique des trous noirs
• Kerr-CFT From Black-Hole Thermodynamics
• Cardy and Kerr
• The correspondence between rotating black holes and fundamental strings
• A near-NHEK/CFT correspondence
• Uniformly Rotating Rings in General Relativity
• Critical Emission from a High-Spin Black Hole
• Where is the extremal Kerr ISCO?
• Photon Emission from Circular Equatorial Kerr Orbiters
• Near-horizon geodesics of high-spin black holes
• Conserved charges, surface degrees of freedom, and black hole entropy
• Holographic entanglement entropy in AdS${}_3$$/$WCFT
• Polarization Whorls from M87* at the Event Horizon Telescope
• The dark (BPS) side of thermodynamics in Minkowski${}_4$
• Transition from inspiral to plunge into a highly spinning black hole
• Structure Constants from Modularity in Warped CFT
• Particle Dynamics in Weakly Charged Extreme Kerr Throat
• N=2 supersymmetric particle near extreme Kerr throat
• Evaporation and information puzzle for 2D nonsingular asymptotically flat black holes
• Jackiw-Teitelboim quantum gravity with defects and the Aharonov-Bohm effect
• Black holes and thermodynamics - The first half century
• Dual 2d CFT Identification of Extremal Black Rings from Holes
• Schwinger-Keldysh path integral for the quantum harmonic oscillator
• Local version of the no-hair theorem
• Near horizon extremal Myers-Perry black holes and integrability of associated conformal mechanics
• Horizon area-angular momentum inequality in higher dimensional spacetimes
• Spin and Quadrupole Couplings for High Spin Equatorial Intermediate Mass-ratio Coalescences
• Extreme Black Hole Anabasis
• Kerr-Newman black hole in a Melvin-swirling universe
• Near horizon hidden symmetry and entropy of Sultana-Dyer black hole: A time dependent case
• On hidden symmetries of extremal Kerr-NUT-AdS-dS black holes
• On Thermodynamics and Phase Space of Near Horizon Extremal Geometries
• Near Horizon Structure of Extremal Vanishing Horizon Black Holes
• Modulated Instability in Five-Dimensional U(1) Charged AdS Black Hole with R**2-term
• Hairy charged Gauss-Bonnet solitons and black holes
• Towards uniqueness of degenerate axially symmetric Killing horizon
• On integrability of geodesics in near-horizon extremal geometries: Case of Myers-Perry black holes in arbitrary dimensions
• AdS solitons with conformal scalar hair
• The Near Horizon Geometry Equation on Compact 2-Manifolds Including the General Solution for g > 0
• On the near horizon rotating black hole geometries with NUT charges
• Excited hairy black holes: dynamical construction and level transitions
• Toward an Effective CFT${}_2$ from $\mathcal{N}=4$ Super Yang-Mills and Aspects of Hawking Radiation
• Three Theorems on Near Horizon Extremal Vanishing Horizon Geometries
• Separating metric perturbations in near-horizon extremal Kerr
• Extremal Vanishing Horizon Kerr-AdS Black Holes at Ultraspinning Limit
• Holographic description of three dimensional Godel black hole
• Universal Entropy and Hawking Radiation of Near-Extremal AdS${}_4$ Black Holes
• Spinning black strings in five dimensional Einstein--Gauss-Bonnet gravity
• Spacetimes foliated by non-expanding and Killing horizons: higher dimension
• New Chiral Gravity
• The Petrov type D isolated null surfaces
• On the CFT duals for near-extremal black holes
• On the black hole limit of rotating discs and rings
• Gravitational Waves on Kerr Black Holes I: Reconstruction of Linearized Metric Perturbations
• Symmetry reduction of gravitational Lagrangians
• Scattering of gravitational and electromagnetic waves off $Ad{S}_2\times S^2$ in extreme Reissner-Nordstrom
• Moving away from the Near-Horizon Attractor of the Extreme Kerr Force-Free Magnetosphere
• Force-free magnetosphere on near-horizon geometry of near-extreme Kerr black holes
• Conformal weights in the Kerr/CFT correspondence
• Near-Extremal Limits of Warped Black Holes
• NUT-like and near-horizon limits of Kerr-NUT-(A)dS spacetimes
• Photon emissions from near-horizon extremal and near-extremal Kerr equatorial emitters
• Note on constants of motion in conformal mechanics associated with near horizon extremal Myers-Perry black holes
• Bumblebee gravity: spherically-symmetric solutions away from the potential minimum
• Massive vector field perturbations on extremal and near-extremal static black holes
• The axial symmetry of Kerr without the rigidity theorem
• Particle collisions near a three-dimensional warped AdS black hole
• Stability of Gauss-Bonnet black holes in Anti-de-Sitter space-time against scalar field condensation
• The Entropy Function for the extremal Kerr-(anti-)de Sitter Black Holes
• AdS segment and hidden conformal symmetry in general non-extremal black holes
• Massless radiation from heavy rotating string and Kerr/string correspondence
• High spin expansion for null geodesics
• The Petrov type D equation on genus $>0$ sections of isolated horizons
• Small deformations of extreme Kerr black hole initial data
• Effective Action, Boundary Conditions, and Virasoro Algebra for AdS${}_3$
• On emergent conformal symmetry near the photon ring
• Observability of Zero-angular-momentum Sources Near Kerr Black Holes
• Higher Dimensional Generalizations of the Kerr Black Hole
• AdS${}_3$ to dS${}_3$ transition in the near horizon of asymptotically de Sitter solutions
• Supersymmetric black holes with spiky horizons
• The Parametric Transition of Strange Matter Rings to a Black Hole
• Formation of scalar hair on Gauss-Bonnet solitons and black holes
• Near-$Ad{S}_2$ perturbations and the connection with near-extreme Reissner-Nordstrom
• Double-Horizon Limit and Decoupling of the Dynamics at the Horizon
• Massive tensor field perturbations on extremal and near-extremal static black holes
• Force-free electrodynamics near rotation axis of a Kerr black hole
• Hunting for fermionic instabilities in charged AdS black holes
• Force-free magnetosphere attractors for near-horizon extreme and near-extreme limits of Kerr black hole
• Self-gravitating solutions in Yang-Mills-Chern-Simons theory coupled to 3D massive gravity
• Warped Flatland
• Near Horizon Geometries and Black Hole Holograph
• Reducibility of Killing tensors in d>4 NHEK geometry
• Solutions of the massive Dirac equation in the near-horizon metric of the extremal five dimensional Myers-Perry black hole with equal angular momenta
• On regular frames near rotating black holes
• Geometric aspects of Extremal Kerr black hole entropy
• Spacetimes foliated by non-expanding null surfaces in the presence of a cosmological constant
• Double Horizon Limit, AdS Geometry and Entropy Function
• N=2 superparticle near horizon of a magnetized Kerr black hole
• Conformal Symmetries of the Einstein-Hilbert Action on Horizons of Stationary and Axisymmetric Black Holes
• Black holes: A physical route to the Kerr metric
• Horizon Acoustics of the GHS Black Hole and the Spectrum of ${\mathrm{AdS}}_2$
• Acceleration of particles by acceleration horizons
• On neutral scalar radiation by a massive orbiting star in extremal Kerr-Newman black hole
• Gravitating Meron-like topological solitons in massive Yang-Mills theory and the Einstein-Skyrme model
• Note on Kerr/CFT correspondence in a first order formalism
• A Selberg zeta function for warped AdS${}_3$ black holes
• Hidden conformal symmetries for black holes in modified gravity
• Towards Cosmological Black Rings
• Separability, plane wave limits and black holes
• Extremal Kerr black hole entropy in Poincaré gauge theory
• Extremal horizons stationary to the second order: new constraints
• Warped Conformal Symmetries of the Accelerating Kerr Black Hole
• Generalized Kerr/CFT correspondence with electromagnetic field
• Bulk Cluster Decomposition in AdS/CFT and A No-Go Theorem for Correlators in Microstates of Extremal Black Holes
• Stability of black holes and solitons in Anti-de Sitter space-time
• A Near Horizon Extreme Binary Black Hole Geometry
• Scalar Self-force for High Spin Black Holes
• Super throats with non trivial scalars
• Tomimatsu-Sato geometries, holography and quantum gravity
• Signatures of particle collisions near extreme black holes
• A Dual CFT for Schwarzschild Black Hole
• What are extremal Kerr Killing vectors up to?
• Near-Horizon Extremal Geometries: Coadjoint Orbits and Quantization
• Killing Horizons and Spinors
• Can the Near-Horizon Black Hole Memory be detected through Binary Inspirals?
• Gravitational waves of nonextremal Kerr black holes from conformal symmetry
• Hidden symmetries of near-horizon extremal Kerr-AdS-NUT geometries
• Action-Angle Variables In Conformal Mechanics
• Near-Extremal Kerr AdS2xS2 Solution and Black-Hole/Near-Horizion-CFT Duality
• Double Wick rotations between symmetries of Taub-NUT, near-horizon extreme Kerr, and swirling spacetimes
• Consistent Four-derivative Heterotic Truncations and the Kerr-Sen Solution
• Electro-Magnetic Energy Extraction from Rotating Black Holes in AdS
• Comments on Sen's Classical Entropy Function for Static and Rotating AdS${}_4$ Black Holes
• When Isolated Horizons met Near Horizon Geometries
• Charged black holes in a generalized scalar-tensor gravity model
• Geometric Properties of Stationary and Axisymmetric Killing Horizons
• Generalized Near Horizon Extreme Binary Black Hole Geometry
• A note on Kerr/CFT and free fields
• Spinning extremal dyonic black holes in $\gamma =1$ Einstein-Maxwell-dilaton theory
• Gravitational radiations of Kerr black hole from warped symmetries
• Cosmology as a CFT${}_1$
• Near-Horizon Collisions around Near-Extremal Black Holes
• Bäcklund transforms of the extreme Kerr near-horizon geometry
• Warped CFT duals of the Plebański-Demiański family of solutions
• A Loop Quantum Gravity Inspired Action for the Bosonic String and Emergent Dimensions at Large Scales
• Accidental Symmetry Near Extreme Spinning Black Holes
• Conserved charges and asymptotic symmetries of BTZ-like black holes in Einstein-bumblebee gravity
• Critical points of WAdS/CFT and higher-curvature gravity
• Boundary Conditions for Warped AdS${}_3$ in Quadratic Ensemble
• Nöther Currents, Black Hole Entropy Universality and CFT Duality in Conformal Weyl Gravity
• Classification of radial Kerr geodesic motion
• Extended Near Horizon Symmetries of Extremal BTZ Black Holes in 3D Massive Gravity
• From rotating attractors to extremal black holes with axionic hair
• Remark on near-horizon geometry of extreme regular black holes
• Unimodular time in JT gravity: a holographic clock
• Effective models of non-singular quantum black holes
• Freudenthal Duality in Conformal Field Theory
• Charged particle geodesics and closed timelike curves in an electromagnetic universe
• Comment on "Generalized near horizon extreme binary black hole geometry"
• Quasinormal frequencies of a massless scalar in the hidden Kerr/CFT proposal
• Kerr/Fluid Duality and Singularity of Solutions to the Fluid Equation
• AdS_3: the NHEK generation
• Single-rotating Five-dimensional Near-horizon Extremal Geometry in General Relativity
• Lie point symmetries of near-horizon geometry equation
• Explorations of Universality in the Entropy and Hawking Radiation of Non-Extremal Kerr AdS${}_4$ Black Holes
• Corrections to the Aretakis type behaviour of the metric due to an infalling particle
• Near-horizon geometry with torsion: Kerr-AdS black hole
• Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT${}_2$ and Viscosity