Quasi-normal modes in non-perturbative quantum gravity

TL;DR

This paper investigates how non-perturbative quantum gravity theories with non-local operators affect black hole quasi-normal modes, revealing deviations from classical predictions and implications for micro-black hole stability.

Contribution

It analyzes the impact of non-local operators in quantum gravity on black hole quasi-normal modes, highlighting deviations from general relativity and potential stability constraints.

Findings

QNMs deviate from GR predictions due to non-local operators

Unstable QNMs can occur in these quantum gravity models

Constraints on gravity modifications or micro-black hole masses are suggested

Abstract

Non-pertrubative quantum gravity formulated as a unitary four-dimensional theory suggests that certain amount of non-locality, such as infinite-derivative operators, can be present in the action, in both cases of Analytic Infinite Derivative gravity and Asymptotically Safe gravity. Such operators lead to the emergence of Background Induced States on top of any background deviating from the flat spacetime. Quasi-normal modes (QNMs) corresponding to these excitations are analyzed in the present paper with the use of an example of a static nearly Schwarzschild black hole. We mainly target micro-Black Holes, given that they are strongly affected by the details of UV completion for gravity, while real astrophysical black holes can be well described in EFT framework. We find that frequencies of QNMs are deviating from those in a General Relativity setup and, moreover, that the unstable QNMs are also possible. This leads to the necessity of constraints on gravity modifications or lower bounds on masses of the stable micro-Black Holes or both.