Conversion of gravitational and electromagnetic waves without any external background fields

TL;DR

This paper presents exact solutions demonstrating strong nonlinear interactions and conversion phenomena between gravitational and electromagnetic waves in a cylindrically symmetric Einstein-Maxwell system without background fields.

Contribution

It introduces a simple harmonic map method to derive solutions showing nonlinear wave interactions and conversion effects without external background fields.

Findings

Demonstration of large conversion phenomena near the symmetry axis

Exact solutions for nonlinear wave interactions

No background fields required for the phenomena

Abstract

Applying a simple harmonic map method to the cylindrically symmetric Einstein-Maxwell system, we obtain exact solutions representing strong nonlinear interaction between gravitational waves and electromagnetic waves in the case without any background field. As an interesting fact, we can show that with adjusted parameters the solutions represent occurrences of large conversion phenomena in the intense region of fields near the cylindrically symmetric axis.