Kerr Black Hole Ringdown in Effective Field Theory

TL;DR

This paper develops an effective field theory approach to calculate Kerr black hole quasinormal modes, providing model-independent corrections relevant for gravitational-wave observations, especially near extremality.

Contribution

It introduces a systematic EFT framework for Kerr black hole ringdown spectra applicable to arbitrary spins, revealing discrete-scale-invariant features near extremality.

Findings

EFT corrections exhibit oscillatory dependence on log of black hole temperature ratio.

The approach is valid for arbitrary black hole spin.

Reveals underlying discrete-scale-invariant structure near extremality.

Abstract

We develop a systematic effective field theory calculation of the quasinormal modes of Kerr black holes valid for arbitrary spin, providing model-independent corrections to their ringdown spectrum directly relevant for gravitational-wave observations. Close to extremality, the effective field theory corrections in the grand-canonical ensemble exhibit an oscillatory dependence on $\log \tau_{H}$, with $\tau_H \equiv T_H/\Omega_H$ a dimensionless measure of the black hole temperature. This behaviour signals an underlying discrete-scale-invariant structure.