# Second Order Perturbative Calculation of Quasinormal Modes of Schwarzschild Black Holes

## TL;DR

This paper analytically computes second-order corrections to the quasinormal mode frequencies of Schwarzschild black holes using monodromy analysis, aligning well with numerical results.

## Contribution

It introduces a second-order perturbative analytical method for calculating black hole quasinormal modes, extending previous first-order approaches.

## Key findings

- Second-order corrections match numerical data
- Analytical approach confirms previous results
- Enhances understanding of black hole perturbations

## Abstract

We analytically calculate to second order the correction to the asymptotic form of quasinormal frequencies of four dimensional Schwarzschild black holes based on the monodromy analysis proposed by Motl and Neitzke. Our results are in good agreement with those obtained from numerical calculation.