2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219147Within 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.5 pages, 3 figures, 1 table. Updates include: (1) Large Hadron Collider off-line experiment designed to test relativistic gravity; (2) demonstration that weak 'antigravity' fields correspond with new exact solutions calculated from an exact metric first derived by Hartle, Thorne, and PriceGeneral Relativity and Quantum Cosmologytext