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Weak 'Antigravity' Fields in General Relativity

F. S. Felber
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Abstract

Within the weak-field approximation of general relativity, new exact solutions are derived for the gravitational field of a mass moving with arbitrary velocity and acceleration. A mass having a constant velocity greater than 3^-1/2 times the speed of light gravitationally repels other masses at rest within a narrow cone. At high Lorentz factors (gamma >> 1), the force of repulsion in the forward direction is about -8(gamma^5) times the Newtonian force, offering opportunities for laboratory tests of gravity at extreme velocities. One such experiment is outlined for the Large Hadron Collider.

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F. S. Felber. 2009-02-10. Weak 'Antigravity' Fields in General Relativity. https://arxiv.org/abs/gr-qc/0505098

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