Internal Structure of Black Holes

Abstract

We present a number of qualitative arguments which strongly suggest that extremal dyonic black holes in the 4--dimensional low energy, classical field theory limit of toroidally compactified heterotic string theory represent largely degenerate classes of states in the quantum theory. We propose a simple expression for the full non--perturbative degeneracy, which contains no free continuous parameters and reproduces the Bekenstein-Hawking $S=\frac{A}{4G_N}$ in the large-area limit (with the $\frac{1}{4}$ arising from microphysics). We sketch the elements of a physical picture leading to this expression: the holes support much hair, such that in counting it we are led to an effective string theory, and a matching condition whose solutions give the degeneracy.

15 pages, no figures, Phyzzx

References in corpus (8)

• String Theory Dynamics In Various Dimensions
• Unity of Superstring Dualities
• Strong-Weak Coupling Duality in Four Dimensional String Theory
• Action and Entropy of Extreme and Non-Extreme Black Holes
• A New Class of Exact Solutions in String Theory
• General class of BPS saturated dyonic black holes as exact superstring solutions
• Massive String States as Extreme Black Holes
• Entropy and supersymmetry of $D$ dimensional extremal electric black holes versus string states

Cited by in corpus (79)

• Supersymmetry and Attractors
• A Correspondence Principle for Black Holes and Strings
• Counting Dyons in N=4 String Theory
• General Rotating Five Dimensional Black Holes of Toroidally Compactified Heterotic String
• Comparing decay rates for black holes and D-branes
• General Concentric Black Rings
• General Rotating Black Holes in String Theory: Greybody Factors and Event Horizons
• Black Holes and Solitons in String Theory
• Microscopic derivation of the Bekenstein-Hawking entropy formula for non-extremal black holes
• Microcanonical D-branes and Back Reaction
• The Black Branes of M-theory
• Rotating Kaluza-Klein Black Holes
• Greybody factors for rotating black holes in four dimensions
• Near Horizon Geometry of Rotating Black Holes in Five Dimensions
• String Duality--A Colloquium
• BPS Spectrum of the Five-Brane and Black Hole Entropy
• A String Model of Black Hole Microstates
• Statistical Origin of Black Hole Entropy in Induced Gravity
• Lectures on on Black Holes, Topological Strings and Quantum Attractors (2.0)
• Absorption of Fixed scalars and the D-brane Approach to Black Holes
• Interactions involving D-branes
• The Bekenstein Formula and String Theory (N-brane Theory)
• Black Hole Greybody Factors and Absorption of Scalars by Effective Strings
• Statistical Entropy of Near Extremal Five-branes
• D-Branes, Moduli and Supersymmetry
• Branes at Angles and Black Holes
• Cosmic Censorship of Rotating Anti-de Sitter Black Hole
• Adding momentum to supersymmetric geometries
• U-Invariants, Black-Hole Entropy and Fixed Scalars
• Microstates at the boundary of AdS
• Semiclassical Black Hole States and Entropy
• Microstates of Four-Dimensional Rotating Black Holes from Near-Horizon Geometry
• Microstates of Non-supersymmetric Black Holes
• Electric-Magnetic Duality in Supergravity
• Counting States of Black Strings with Traveling Waves
• Thermodynamics of Three-dimensional Black Holes via Charged Particle Absorption
• Extremal black hole entropy from conformal string sigma model
• Wavy Strings: Black or Bright?
• Momentum-carrying waves on D1-D5 microstate geometries
• Black Hole Hair Removal: Non-linear Analysis
• Five Dimensional U-Duality, Black-Hole Entropy and Topological Invariants
• Entropy of N=2 black holes and their M-brane description
• Quantum Black Holes from Quantum Collapse
• Black Strings and Classical Hair
• The long string at the stretched horizon and the entropy of large non-extremal black holes
• Counting States of Black Strings with Traveling Waves II
• Regular R-R and NS-NS BPS black holes
• Classical and Quantum Aspects of BPS Black Holes in N=2, D=4 Heterotic String Compactifications
• Quantum N = 2 Supersymmetric Black Holes in the S-T Model
• Entropy in the interior of a Kerr black hole
• Where is the Information Stored in Black Holes?
• Noether Current, Black Hole Entropy and Spacetime Torsion
• Black Hole Horizons and the Thermodynamics of Strings
• Properties of Black Holes in Toroidally Compactified String Theory
• A Particle Probing Thermodynamics in Three-Dimensional Black Hole
• Subleading contributions from instanton corrections in N = 2 supersymmetric black hole entropy
• A Note on Intersecting $D$-branes and Black Hole Entropy
• Extremal Branes as Elementary Particles
• Conceptual Analysis of Black Hole Entropy in String Theory
• Toward a Quantization of Null Dust Collapse
• M-branes, anti-M-branes and nonextremal black holes
• Duality Invariant Non-Extreme Black Holes in Toroidally Compactified String Theory
• The Edge of Entanglement: Getting the Boundary Right for Non-Minimally Coupled Scalar Fields
• N = 2 Supersymmetric Quantum Black Holes in Five Dimensional Heterotic String Vacua
• Classical Hair in String Theory II: Explicit Calculations
• Microscopics of Rotating Black Holes: Entropy and Greybody Factors
• Complex Multiplication Symmetry of Black Hole Attractors
• Gauge Symmetry Enhancement and N = 2 Supersymmetric Quantum Black Holes in Heterotic String Vacua
• Sigma model of near-extreme rotating black holes and their microstates
• Entropy bound for the photon gas in noncommutative spacetime
• More on Four-Dimensional Extremal Black Holes
• Statistical Effects and the Black Hole/D-brane Correspondence
• Dynamics of D-brane Black Holes
• The string spectrum on the horizon of a non-extremal black hole
• Entropy of near-extremal dyonic black holes
• Duality, Central Charges and Entropy of Extremal BPS Black Holes
• Decompactification near the horizon and non-vanishing entropy
• Black Holes and D-branes
• Ultraviolet-Infrared Bounds and Minimum Coupling in Effective Field Theories