A repulsive force in the Einstein theory

TL;DR

This paper explores how gravitational wave emission causes a decrease in a system's gravitational mass, resulting in a persistent repulsive force that could be linked to cosmic expansion.

Contribution

It introduces the concept of a repulsive gravitational force arising from mass loss due to gravitational waves within Einstein's theory.

Findings

Emission of gravitational waves reduces system mass over time.

Reduced mass leads to a persistent repulsive gravitational force.

Potential connection between this force and universe expansion.

Abstract

The Laser Interferometer Gravitational-Wave Observatory (LIGO) detection of gravitational waves that take away 5 per cent of the total mass of two merging black holes points out on the importance of considering varying gravitational mass of a system in the framework of the Einstein general theory of relativity. We calculate the acceleration of a particle in the non-stationary field of a quasi-spherical system composed of a large number of objects emitting gravitational waves. It is shown that reduction of the gravitational mass of the system due to emitting gravitational waves leads to a repulsive gravitational force that diminishes with time but never disappears. This repulsive force may be related to the observed expansion of the Universe.