A repulsive force in the Einstein theory

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.

6 pages, 2 figures, accepted in MNRAS

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• Wolf-Rayet stars, black holes and the first detected gravitational wave source
• Acceleration of particles to high energy via gravitational repulsion in the Schwarzschild field
• Gravitational wave background discovered by NANOGrav as evidence of a cyclic universe
• Comment on "Acceleration of particles to high energy via gravitational repulsion in the Schwarzschild field" by C. H. McGruder III
• Gravitational Repulsion in an Expanding Ball of Dust
• Accretion of Galaxies around Supermassive Black Holes and a Theoretical Model of the Tully-Fisher and M-Sigma Relations
• A viable relativistic scalar theory of gravitation