Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-04-28
Phys.Lett. B572 (2003) 109-116
Physics
High Energy Physics
High Energy Physics - Theory
13 pages, LaTeX, final version to appear in Phys. Lett. B
Scientific paper
We 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. Nonlocal form factors in the action of both quantum and brane-induced nature are briefly discussed. In particular, it is emphasized that for certain class of quantum initial value problems nonlocal nature of the Euclidean action does not contradict the causality of effective equations of motion.
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