Quasi-normal modes and Microscopic Structure of the Schwarzschild Black Hole

Abstract

Maggiore observed that, in the high-damping regime, the quasi-normal modes spectrum for the Schwarzschild black hole resembles that of a quantum harmonic oscillator. Motivated by this observation, we describe a black hole as a statistical ensemble of N quantum harmonic oscillators. By working in the canonical ensemble, we show that, in the large-mass black hole limit, the leading contribution to the Gibbs entropy is the Bekenstein-Hawking term, while the subleading one is a logarithmic correction, in agreement with several results in the literature. We also find that the number of oscillators scales holographically with the area of the event horizon.

arXiv comment4 pages, no figures, Revised version: references added

References in corpus (36)

• Quasinormal modes of black holes and black branes
• Quasi-Normal Modes of Stars and Black Holes
• Quasinormal modes of black holes: from astrophysics to string theory
• The fuzzball proposal for black holes: an elementary review
• Quasinormal Modes of AdS Black Holes and the Approach to Thermal Equilibrium
• Bohr's Correspondence Principle and The Area Spectrum of Quantum Black Holes
• Logarithmic correction to the Bekenstein-Hawking entropy
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Spectroscopy of the quantum black hole
• Quasinormal Modes, the Area Spectrum, and Black Hole Entropy
• Black hole entropy from Quantum Geometry
• The physical interpretation of the spectrum of black hole quasinormal modes
• d-Dimensional Black Hole Entropy Spectrum from Quasi-Normal Modes
• Quantum Gravity and Regge Calculus
• Universality of Quantum Entropy for Extreme Black Holes
• Quantum Compositeness of Gravity: Black Holes, AdS and Inflation
• UV-Completion by Classicalization
• Entropy for dilatonic black hole
• Black hole state counting in Loop Quantum Gravity: A number theoretical approach
• Thermal Fluctuations and Black Hole Entropy
• Logarithmic Corrections to Black Hole Entropy and AdS/CFT Correspondence
• A comment on black hole entropy or does Nature abhor a logarithm?
• Potential gravitational-wave signatures of quantum gravity
• Self-Completeness of Einstein Gravity
• Matter and gravitons in the gravitational collapse
• Entropy Bound and Unitarity of Scattering Amplitudes
• Quantum Harmonic Black Holes
• Classicalization of Gravitons and Goldstones
• Thermal BEC black holes
• Schwarzschild black hole as a grand canonical ensemble
• Quasi-normal modes: the "electrons" of black holes as "gravitational atoms"? Implications for the black hole information puzzle
• Entanglement entropy of two-dimensional Anti-de Sitter black holes
• A quantum bound on the compactness
• Quantum corrections to the entropy of charged rotating black holes
• Space Noncommutativity Corrections to the Cardy-Verlinde Formula
• Logarithmic corrections to the entropy of the exact string black hole

Cited by in corpus (7)

• The Science of the Einstein Telescope
• Quasi-normal modes and microscopic description of 2D black holes
• Evaporation and information puzzle for 2D nonsingular asymptotically flat black holes
• The ringing of quantum corrected Schwarzschild black hole with GUP
• From Entropy to Echoes: Counting the quasi-normal modes and the quantum limit of silence
• Effective models of non-singular quantum black holes
• Dark Information in Black Hole with $\lambda \phi$ Fluid