EFT Corrections to Charged Black Hole Quasinormal Modes

Abstract

We study the impact of higher-derivative corrections from Effective Field Theory on the quasinormal mode spectrum of Reissner-Nordström black holes. While previous work has explored corrections to Schwarzschild and Kerr black holes - typically using small-rotation approximations - a comprehensive analysis near extremality remains lacking. We focus on Reissner-Nordström black holes as a tractable model admitting an extremal limit, enabling investigation of the effect of these corrections on the so-called zero damped modes, which dominate in this regime. Specifically, we derive a corrected Moncrief equation governing quasinormal modes and present both analytic and numerical results for the corrected frequencies. This work also offers the first explicit test of the recently proposed "Quasinormal Mode Causality" bound arXiv:2401.05524, which constrains Effective Field Theory coefficients by requiring that quasinormal mode lifetimes do not increase measurably under ultraviolet-complete Effective Field Theory corrections. Using Standard Model contributions - particularly those arising from integrating out the electron - we verify that this bound holds. Our results provide new insights into the interplay between Effective Field Theory, extremal black hole dynamics, and causality in gravitational theories.

24 pages, 6 figures

References in corpus (30)

• A master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions
• Master equations for perturbations of generalised static black holes with charge in higher dimensions
• Heisenberg-Euler Effective Lagrangians : Basics and Extensions
• Stability of Higher-Dimensional Schwarzschild Black Holes
• Higher-order corrections to mass-charge relation of extremal black holes
• Weak Gravity Conjecture from Unitarity and Causality
• Black holes in an Effective Field Theory extension of GR
• Proof of the Weak Gravity Conjecture from Black Hole Entropy
• Numerical Methods for Finding Stationary Gravitational Solutions
• Amplitudes' Positivity, Weak Gravity Conjecture, and Modified Gravity
• An effective formalism for testing extensions to General Relativity with gravitational waves
• Infrared Consistency and the Weak Gravity Conjecture
• Extremal limits and black hole entropy
• Linear mode stability of Kerr-Newman and its quasinormal modes
• Causality, Unitarity, and the Weak Gravity Conjecture
• The universal Teukolsky equations and black hole perturbations in higher-derivative gravity
• Extremal Kerr black holes as amplifiers of new physics
• Constraints on Kerr-Newman black holes from merger-ringdown gravitational-wave observations
• Eigenvalue repulsions in the quasinormal spectra of the Kerr-Newman black hole
• Gravitational corrections to the Euler-Heisenberg Lagrangian
• Almost all extremal black holes in AdS are singular
• Sudden breakdown of effective field theory near cool Kerr-Newman black holes
• On the low energy limit of one loop photon-graviton amplitudes
• Causality and quasi-normal modes in the GREFT
• Scattering of gravitational and electromagnetic waves off $Ad{S}_2\times S^2$ in extreme Reissner-Nordstrom
• Schwarzschild quasi-normal modes of non-minimally coupled vector fields
• Three principles for modernizing an undergraduate regression analysis course
• Near-$Ad{S}_2$ perturbations and the connection with near-extreme Reissner-Nordstrom
• Black hole destabilization via trapped quasi-normal modes
• EFT Corrections to Majumdar-Papapetrou Black Holes

Cited by in corpus (1)

• Quasinormal modes of Kerr-Newman black holes: revisiting the Dudley-Finley approximation