Highly Damped Quasinormal Modes and the Small Scale Structure of Quantum Corrected Black Hole Exteriors

Abstract

Quasinormal modes provide valuable information about the structure of spacetime outside a black hole. There is also a conjectured relationship between the highly damped quasinormal modes and the semi-classical spectrum of the horizon area/entropy. In this paper, we show that for spacetimes characterized by more than one scale, the "infinitely damped" modes in principle probe the structure of spacetime outside the horizon at the shortest length scales. We demonstrate this with the calculation of the highly damped quasinormal modes of the non-singular, single horizon, quantum corrected black hole derived in [14].

32 pages, 7 figures

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• Validity of the WKB Approximation in Calculating the Asymptotic Quasinormal Modes of Black Holes
• Spectroscopy of the Schwarzschild Black Hole at Arbitrary Frequencies
• Quasinormal modes for asymptotic safe black holes
• The Branch Cut and Quasi-normal Modes at Large Imaginary Frequency in Schwarzschild Space-time
• The isospectrality of asymptotic quasinormal modes of large Gauss-Bonnet d-dimensional black holes
• Singularities of regular black holes and the monodromy method for asymptotic quasinormal modes
• High Overtone Quasinormal Modes of Analog Black Holes and the Small Scale Structure of the Background Fluid
• Spin-1 Quasi-normal Frequencies in Schwarzschild space-time for Large Overtone Number
• Asymptotic quasinormal frequencies of different spin fields in $d$-dimensional spherically-symmetric black holes