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Zusammenfassung:
We propose a non-local scalar-tensor model of gravity with pseudo-differential operators inspired by the effective action of p-adic string and string field theory on flat spacetime. An infinite number of derivatives act both on the metric and scalar field sector. The system is localized via the diffusion equation approach and its cosmology is studied. We find several exact dynamical solutions which are stationary in the diffusion flow. In particular, and contrary to standard general relativity, there exist de Sitter and power-law solutions also in an open universe, as well as solutions with sudden future singularities. Also, from the point of view of quantum field theory, spontaneous symmetry breaking can be naturally realized in the class of actions we consider.
