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

TL;DR

This paper investigates how highly damped quasinormal modes can reveal the small-scale structure of quantum-corrected black hole exteriors, especially in spacetimes with multiple characteristic scales.

Contribution

It demonstrates that infinitely damped quasinormal modes probe the shortest length scales outside quantum-corrected black holes with multiple scales.

Findings

Highly damped modes relate to small-scale structure

Quantum corrections modify quasinormal mode spectra

Modes probe the black hole exterior at minimal length scales

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].