Black Hole Hair Removal

Abstract

Macroscopic entropy of an extremal black hole is expected to be determined completely by its near horizon geometry. Thus two black holes with identical near horizon geometries should have identical macroscopic entropy, and the expected equality between macroscopic and microscopic entropies will then imply that they have identical degeneracies of microstates. An apparent counterexample is provided by the 4D-5D lift relating BMPV black hole to a four dimensional black hole. The two black holes have identical near horizon geometries but different microscopic spectrum. We suggest that this discrepancy can be accounted for by black hole hair, -- degrees of freedom living outside the horizon and contributing to the degeneracies. We identify these degrees of freedom for both the four and the five dimensional black holes and show that after their contributions are removed from the microscopic degeneracies of the respective systems, the result for the four and five dimensional black holes match exactly.

LaTeX file, 30 pages; v2: minor changes; v3: minor changes; v4: note added

References in corpus (21)

• Nonlinear Fluid Dynamics from Gravity
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Quantum Entropy Function from AdS(2)/CFT(1) Correspondence
• Rotating Attractors
• CHL Dyons and Statistical Entropy Function from D1-D5 System
• Walls of Marginal Stability and Dyon Spectrum in N=4 Supersymmetric String Theories
• Comments on the Spectrum of CHL Dyons
• Entropy Function and AdS(2)/CFT(1) Correspondence
• Non-supersymmetric Meta-Stable vacua in SU(N) SQCD with adjoint matter
• Dying Dyons Don't Count
• 5D Black Holes and Strings with Higher Derivatives
• Ads(3)/CFT(2) to Ads(2)/CFT(1)
• Two Centered Black Holes and N=4 Dyon Spectrum
• Re-Recounting Dyons in N=4 String Theory
• Precision Entropy of Spinning Black Holes
• Corrections to the statistical entropy of five dimensional black holes
• On R**2 Corrections for 5D Black Holes
• Spinning Strings as Small Black Rings
• alpha'^2-corrections to extremal dyonic black holes in heterotic string theory
• Entropy Functions with 5D Chern-Simons terms
• Subleading Correction to Statistical Entropy for BMPV Black Hole

Cited by in corpus (45)

• Quantum Black Holes, Wall Crossing, and Mock Modular Forms
• Logarithmic Corrections to Rotating Extremal Black Hole Entropy in Four and Five Dimensions
• Nonperturbative black hole entropy and Kloosterman sums
• Quantum black holes, localization and the topological string
• Near Extremal Kerr Entropy from AdS_2 Quantum Gravity
• Supersymmetric Index from Black Hole Entropy
• Arithmetic of Quantum Entropy Function
• State Operator Correspondence and Entanglement in AdS_2/CFT_1
• F-Theory, Spinning Black Holes and Multi-string Branches
• A One-loop Test of Quantum Black Holes in Anti de Sitter Space
• Adding momentum to supersymmetric geometries
• Microscopic and Macroscopic Entropy of Extremal Black Holes in String Theory
• Black Hole Microstate Counting and its Macroscopic Counterpart
• Microstates at the boundary of AdS
• BPS black holes in N=2 D=4 gauged supergravities
• Two Charge System Revisited: Small Black Holes or Horizonless Solutions?
• Near-horizon analysis of D=5 BPS black holes and rings
• Momentum-carrying waves on D1-D5 microstate geometries
• How Do Black Holes Predict the Sign of the Fourier Coefficients of Siegel Modular Forms?
• Quasilocal formalism and thermodynamics of asymptotically flat black objects
• Black Hole Hair Removal: Non-linear Analysis
• Hair-brane Ideas on the Horizon
• Revisiting Leading Quantum Corrections to Near Extremal Black Hole Thermodynamics
• Logarithmic Corrections to Extremal Black Hole Entropy in N = 2, 4 and 8 Supergravity
• One-loop determinants for black holes in 4d gauged supergravity
• The fuzzball nature of two-charge black hole microstates
• Black hole and cosmos with multiple horizons and multiple singularities in vector-tensor theories
• Near horizon data and physical charges of extremal AdS black holes
• Four-dimensional black hole entropy from F-theory
• Heat Kernels on the AdS(2) cone and Logarithmic Corrections to Extremal Black Hole Entropy
• The Hodge-elliptic genus, spinning BPS states, and black holes
• Quantum entropy of BMPV black holes and the topological M-theory conjecture
• Lessons from the Vacuum Structure of 4d N=2 Supergravity
• Subttractors
• Positivity of discrete information for CHL black holes
• Quantum entropy of supersymmetric black holes
• Horizon states and the sign of their index in $\mathcal{N}=4$ dyons
• Black Hole Hair Removal For N=4 CHL Models
• Vertex operator formulation of scattering around black hole
• Generalised Garfinkle-Vachaspati Transform With Dilaton
• On Exponentially Suppressed Corrections to BMPV Black Hole Entropy
• Stability of BPS States and Weak Coupling Limits
• On the positivity of black hole degeneracies in string theory
• Quantum entropy and exact 4d/5d connection
• On the exact entropy of $\mathcal{N}=2$ black holes