On the gravitational fields created by the electromagnetic waves

TL;DR

This paper demonstrates that Maxwell's equations for electromagnetic waves can be derived from Einstein's equations, highlighting a deep connection between electromagnetism and gravity in the context of Einsteinian metrics.

Contribution

It establishes that electromagnetic wave equations are a mathematical consequence of Einstein's equations, offering new insights into the link between gravity and electromagnetism.

Findings

Maxwell equations follow from Einstein equations for electromagnetic waves.

The work clarifies the Einsteinian metrics associated with electromagnetic waves.

Provides a theoretical foundation for the interplay between gravity and electromagnetism.

Abstract

We show that the Maxwell equations describing an electromagnetic wave are a mathematical consequence of the Einstein equations for the same wave. This fact is significant for the problem of the Einsteinian metrics corresponding to the electromagnetic waves.