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 mPl1, which can be put in the (dimensionally continued) Euler characteristic form by field redefinitions. © 1992.
|Journal||Physics Letters B|
|Publication status||Published - 3 Sep 1992|