Abstract

A new action for the gravitational interaction is proposed, which is bounded from below in riemannian spaces and reduces to the standard Einstein-Hilbert action at low energies. The action uses as essential variables the geodesic two-point distance, which gives it a non-local character. It reduces to the Einstein-Hilbert form in the weak coupling limit, plus quartic corrections suppressed by m Pl 1 , which can be put in the (dimensionally continued) Euler characteristic form by field redefinitions.

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