# Nonlinear interaction between electromagnetic and gravitational waves: an appraisal

## TL;DR

This paper explores the nonlinear interaction between electromagnetic and gravitational waves, demonstrating how electromagnetic waves can convert into gravitational waves in cylindrical spacetimes, especially when influenced by a black hole's mass.

## Contribution

It introduces a simple nonlinear effect showing electromagnetic to gravitational wave conversion in cylindrical spacetimes, highlighting the role of mass extraction.

## Key findings

- Electromagnetic waves can generate gravitational waves upon scattering by black holes.
- A nonlinear effect of wave conversion is identified in cylindrical spacetimes.
- Mass extraction influences the electromagnetic-gravitational wave interaction.

## Abstract

Wave propagation of field disturbances is ubiquitous. The electromagnetic and gravitational are cousin theories in which the corresponding waves play a relevant role to understand several related physical. It has been established that small electromagnetic waves can generate gravitational waves and vice versa when scattered by a charged black hole. In the realm of cylindrical spacetimes, we present here a simple nonlinear effect of the conversion of electromagnetic to gravitational waves reflected by the amount of mass extracted from them.