The long string at the stretched horizon and the entropy of large non-extremal black holes

Abstract

We discuss how long strings can arise at the stretched horizon and how they can account for the Bekenstein-Hawking entropy. We use the thermal scalar field theory to derive the asymptotic density of states and corresponding stress tensor of a microcanonical long string gas in Rindler space. We show that the equality of the Hagedorn and Hawking temperatures gives rise to the tree-level entropy of large black holes in accordance with the Bekenstein-Hawking-Wald formula.

19 pages, v2: added discussion on rotating black holes, matches published version

References in corpus (10)

• $T\bar{T}$ and LST
• Perturbative String Thermodynamics near Black Hole Horizons
• String-theoretic breakdown of effective field theory near black hole horizons
• Stringy Horizons and UV/IR Mixing
• On the Relevance of the Thermal Scalar
• Revisiting noninteracting string partition functions in Rindler space
• Near-Hagedorn Thermodynamics and Random Walks - Extensions and Examples
• Black Holes as Conformal Field Theories on Horizons
• Longitudinal nonlocality in the string S-matrix
• Horizon Conformal Field Theories from $Ad{S}_2$ Black Holes

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• Stringy Horizons and UV/IR Mixing
• What is the Simplest Linear Ramp?
• Highly Excited Strings I: Generating Function
• Revisiting noninteracting string partition functions in Rindler space
• Explicit microstates at the Schwarzschild horizon
• String Theory in Polar Coordinates and the Vanishing of the One-Loop Rindler Entropy
• Hagedorn String Thermodynamics in Curved Spacetimes and near Black Hole Horizons
• Liouville Theory on Horizons: Towards a Quantum Theory of Black Holes
• On the Stringy Hartle-Hawking State
• Size scaling of self gravitating polymers and strings
• Scattering of low lying states in the black hole atmosphere
• Lifshitz tails at spectral edge and holography with a finite cutoff
• Black Hole Entropy Sourced by String Winding Condensate
• String condensation: Nemesis of Black Holes?
• Thermal Equilibrium in String Theory in the Hagedorn Phase