# Constraining modified gravity with ringdown signals: an explicit example

## TL;DR

This paper demonstrates how ringdown signals from binary black hole mergers can be used to constrain a specific modified gravity theory, leveraging exact solutions and quasi-normal mode calculations for precise parameter estimation.

## Contribution

It provides a concrete example of constraining a modified gravity theory using ringdown signals, with explicit calculations of quasi-normal modes for an exact rotating black hole solution.

## Key findings

- Potential constraints on the deviation parameter from future gravitational wave detections.
- Demonstrates the feasibility of using ringdown signals to test alternative gravity theories.
- Provides a methodology for linking black hole ringdown observations to fundamental physics.

## Abstract

An explicit example is found showing how a modified theory of gravity can be constrained with the ringdown signals from merger of binary black holes. This has been made possible by the fact that the modified gravitational theory considered in this work has an exact rotating black hole solution and that the corresponding quasi-normal modes can be calculated. With these, we obtain the possible constraint that can be placed on the parameter describing the deviation of this particular alternative theory from general relativity by using the detection of the ringdown signals from binary black holes's merger with future space-based gravitational wave detectors.