Einsteinian Manifolds and Gravitational Waves

TL;DR

This paper argues that in Einsteinian general relativity, gravitational waves are not physically generated because the undulatory nature of the metric tensor is coordinate-dependent and can propagate at arbitrary speeds.

Contribution

It challenges the conventional understanding of gravitational waves by emphasizing the coordinate dependence of metric undulations in GR.

Findings

Metric undulations are not invariant and depend on the coordinate frame.

Undulation propagation speed can vary from zero to infinity.

Physical gravitational waves may not exist in Einsteinian GR.

Abstract

The full relativity of the concepts of motion and rest, which is characteristic of the Einsteinian general relativity (GR), does not allow the generation of physical gravitational waves (GW's). -- The undulatory nature of a metric tensor is not an invariant property, but depends on the coordinate frame. -- An undulation of a metric tensor is propagated with a speed that can have any value between zero and infinite.