The propagation of waves in Einstein's unified field theory as shown by two exact solutions

TL;DR

This paper investigates wave propagation in Einstein's unified field theory using two exact solutions, demonstrating that waves propagate at the fundamental velocity in the wave zone with a specific metric choice.

Contribution

It shows that wave propagation occurs at the fundamental velocity in Einstein's unified field theory for two exact solutions with a particular metric.

Findings

Wave propagation occurs at the fundamental velocity in the wave zone.

Propagation is demonstrated using two exact solutions.

The metric choice aligns with previous work by Kursunoglu and Hély.

Abstract

The propagation of waves in two space dimensions exhibited by two exact solutions to the field equations of Einstein's unified field theory is investigated under the assumption that the metric s_{ik} is the one already chosen by Kursunoglu and by H\'ely in the years 1952-1954. It is shown that, for both exact solutions, with this choice of the metric the propagation of the waves occurs in the wave zone with the fundamental velocity (ds^2=0).