2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/52765We construct the covariant nonlocal action for recently suggested long-distance modifications of gravity theory motivated by the cosmological constant and cosmological acceleration problems. This construction is based on the special nonlocal form of the Einstein-Hilbert action explicitly revealing the fact that this action within the covariant curvature expansion begins with curvature-squared terms.LaTeX, 10 p., talk given at QUARKS-2004, Pushkinskie Gory, Russia, May 2004High Energy Physics - Theorytext