Near Horizon Geometry of Rotating Black Holes in Five Dimensions

Abstract

We interpret the general rotating black holes in five dimensions as rotating black strings in six dimensions. In the near horizon limit the geometry is locally AdS_3 x S_3, as in the nonrotating case. However, the global structure couples the AdS_3 and the S_3, giving angular velocity to the S_3. The asymptotic geometry is exploited to count the microstates and recover the precise value of the Bekenstein- Hawking entropy, with rotation taken properly into account. We discuss the perturbation spectrum of the rotating black hole, and its relation to the underlying conformal field theory.

18 pages, latex

References in corpus (17)

• Black Hole Entropy from Near-Horizon Microstates
• AdS3 Black Holes and a Stringy Exclusion Principle
• General Rotating Black Holes in String Theory: Greybody Factors and Event Horizons
• Black Holes and Solitons in String Theory
• Universal Low-Energy Dynamics for Rotating Black Holes
• A String Model of Black Hole Microstates
• Scalar Absorption and the Breaking of the World Volume Conformal Invariance
• Absorption of photons and fermions by black holes in four dimensions
• Can the effective string see higher partial waves?
• Duality and asymptotic geometries
• Greybody Factors for Black Holes in Four Dimensions: Particles with Spin
• Absorption of angular momentum by black holes and D-branes
• Testing Effective String Models of Black Holes with Fixed Scalars
• Matrix Models of AdS Gravity
• Entropy and Conformal Field Theories of AdS_3 Models
• Black Hole Horizons and the Thermodynamics of Strings
• Absorption of partial waves by three-branes

Cited by in corpus (104)

• Large N Field Theories, String Theory and Gravity
• Charged AdS Black Holes and Catastrophic Holography
• The Extreme Kerr Throat Geometry: A Vacuum Analog of AdS_2 x S^2
• Supersymmetric AdS5 black holes
• Six-Dimensional Supergravity on S^3 X AdS_3 and 2d Conformal Field Theory
• Conformal Field Theory, (2+1)-Dimensional Gravity, and the BTZ Black Hole
• Bubbling Supertubes and Foaming Black Holes
• Metric of the multiply wound rotating string
• Supersymmetric black rings and three-charge supertubes
• Dual geometries for a set of 3-charge microstates
• Gravity solutions for the D1-D5 system with angular momentum
• 3-charge geometries and their CFT duals
• Supersymmetric Conical Defects: Towards a string theoretic description of black hole formation
• Non-supersymmetric smooth geometries and D1-D5-P bound states
• A Black Hole Farey Tail
• Adding momentum to D1-D5 system
• Black Holes as Effective Geometries
• De-singularization by rotation
• Microscopic Description of Black Rings in AdS/CFT
• Radiation from the non-extremal fuzzball
• Greybody Factors and Charges in Kerr/CFT
• Supersymmetric Index from Black Hole Entropy
• Three Charge Supertubes and Black Hole Hair
• An Exact Black Hole Entropy Bound
• Supersymmetry of Black Strings in D=5 Gauged Supergravities
• String Theory Effects on Five-Dimensional Black Hole Physics
• Smooth geometries with four charges in four dimensions
• Les Houches Lectures on Strings and Arithmetic
• Microstates of the D1-D5-KK System
• Maxwell's Equations in the Myers-Perry Geometry
• The Kerr/CFT Correspondence and String Theory
• Exact Results for the BTZ Black Hole
• Non-supersymmetric microstates of the D1-D5-KK system
• Microscopic Theory of Black Hole Superradiance
• Conformal Symmetry for General Black Holes
• String Theory on AdS Orbifolds
• Holography and Rotating AdS Black Holes
• All the supersymmetric solutions of N=1,d=5 ungauged supergravity
• A Critique of the Fuzzball Program
• Spacetimes of Boosted p-branes, and CFT in Infinite-momentum Frame
• Statistical Description of Rotating Kaluza-Klein Black Holes
• String Theory of Supertubes
• Modave Lectures on Fuzzballs and Emission from the D1-D5 System
• Microstates of Four-Dimensional Rotating Black Holes from Near-Horizon Geometry
• Chronology Protection in String Theory
• Killing(-Yano) Tensors in String Theory
• The spectrum of strings on BTZ black holes and spectral flow in the SL(2,R) WZW model
• Lectures on black holes and the AdS_3 / CFT_2 correspondence
• New Formulation of the First Law of Black Hole Thermodynamics: A Stringy Analogy
• Conformal Symmetry of a Black Hole as a Scaling Limit: A Black Hole in an Asymptotically Conical Box
• Generating Charge from Diffeomorphisms
• Gyrating Strings: A new instability of black strings?
• Three-Dimensional Gravity with Conformal Scalar and Asymptotic Virasoro Algebra
• Elliptic Genera and 3d Gravity
• On d=4,5,6 Vacua with 8 Supercharges
• Geometric Construction of Killing Spinors and Supersymmetry Algebras in Homogeneous Spacetimes
• The Cheshire Cap
• Supertube domain-walls and elimination of closed time-like curves in string theory
• Non-BPS Floating Branes and Bubbling Geometries
• Non-Quasinormal Modes and Black Hole Physics
• Black holes and branes in string theory
• SU(2) Reduction of Six-dimensional (1,0) Supergravity
• Winding tachyons in asymptotically supersymmetric black strings
• Over-Rotating Black Holes, Godel Holography and the Hypertube
• Conformal mechanics on rotating Bertotti-Robinson spacetime
• Extremal N=(2,2) 2D Conformal Field Theories and Constraints of Modularity
• Black Holes and Five-brane Thermodynamics
• Entanglement versus entwinement in symmetric product orbifolds
• The statistical mechanics of near-BPS black holes
• Light rings of five-dimensional geometries
• Rotating Rotated Branes
• Horizon Strings as 3d Black Hole Microstates
• Conformal Invariance and Near-extreme Rotating AdS Black Holes
• The Near-Horizon Limit of the Extreme Rotating d=5 Black Hole as a Homogenous Spacetime
• Helical Luttinger Liquids and Three Dimensional Black Holes
• Euclidean analysis of the entropy functional formalism
• General black holes, untwisted
• D=5 Simple Supergravity on AdS_{3} x S^{2} and N=4 Superconformal Field Theory
• BTZ black holes and the near-horizon geometry of higher-dimensional black holes
• New instability of non-extremal black holes: spitting out supertubes
• Multi-centered D1-D5 solutions at finite B-moduli
• AdS_3 Gravity and Conformal Field Theories
• Microscopic Entropy of AdS${}_3$ Black Holes Revisited
• Negative Corrections to Black Hole Entropy from String Theory
• Massive-Scalar Absorption by Extremal p-branes
• N=4 Superconformal Algebra and the Entropy of HyperKahler Manifolds
• Wrapped M2/M5 Duality
• Oscillator Level for Black Holes and Black Rings
• Microscopics of Rotating Black Holes: Entropy and Greybody Factors
• Attractors and first order formalism in five dimensions revisited
• Studies Of The Over-Rotating BMPV Solution
• N=2 Superconformal Algebra and the Entropy of Calabi-Yau Manifolds
• Bubbling the NHEK
• Rotating Strings in Six-Dimensional Higher-Derivative Supergravity
• Attractor Mechanism and Non-Renormalization Theorem in 6D (1,0) Supergravity
• Entropy of Black Holes in D=5, N=2 Supergravity and AdS Central Charges
• Waves and strings in an interacting conformal chiral 2-form theory in six dimensions
• Warped Flatland
• Boosted Rotating Dyonic Strings in Salam-Sezgin Model
• Classification of maximally supersymmetric backgrounds in supergravity theories
• On the space of elliptic genera
• Comment on Counting Black Hole Microstates Using String Dualities
• Hidden symmetries of black holes in five-dimensional supergravity
• Aspects of holography and rotating AdS black holes