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.

4 pages, no figures, Revised version: references added

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Cited by in corpus (6)

• 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