Analytic Quasinormal Spectrum of Effective de Sitter Space in Generalized Proca Theory

TL;DR

This paper derives explicit formulas for quasinormal mode frequencies in an effective de Sitter space within a generalized Proca theory, revealing how parameters influence the spectrum's damping behavior.

Contribution

It provides the first closed-form expressions for scalar quasinormal mode frequencies in a de Sitter background of generalized Proca theory, linking parameters to spectral features.

Findings

Derived exact formulas for scalar quasinormal mode frequencies.

Identified how damping behavior varies with field mass.

Showed the dependence of spectrum on theory parameters.

Abstract

Quasinormal modes describe the relaxation of perturbed black holes and relate ringdown observables to the background geometry. In this work we study the problem in a de Sitter setting within a generalized Proca branch that generates an effective positive cosmological constant and admits an exact de Sitter vacuum. Using this vacuum, we derive closed expressions for scalar mode frequencies and identify the change in damping behavior between light and heavy fields. The resulting formulas show explicitly how the theory parameters determine the de Sitter-like part of the spectrum.