Connection between black-hole quasinormal modes and lensing in the strong deflection limit

TL;DR

This paper establishes a relationship between black-hole quasinormal modes and gravitational lensing in the strong deflection limit, providing new insights and methods for measuring black hole properties and gravitational wave sources.

Contribution

It introduces a novel connection between lensing parameters and quasinormal mode frequencies, offering an alternative approach to study black hole oscillations.

Findings

Derived relations linking lensing parameters to quasinormal mode frequencies

Proposed a new method for measuring black hole quasinormal modes

Potential application in localizing gravitational wave sources

Abstract

The purpose of the current Letter is to give some relations between gravitational lensing in the strong-deflection limit and the frequencies of the quasinormal modes of spherically symmetric, asymptotically flat black holes. On the one side, the obtained relations can give a physical interpretation of the strong-deflection limit parameters. On the other side, they also give an alternative method for the measurement of the frequencies of the quasinormal modes of spherically symmetric, asymptotically flat black holes. They could be applied to the localization of the sources of gravitational waves and could tell us what frequencies of the gravitational waves we could expect from a black hole acting simultaneously as a gravitational lens and a source of gravitational waves.