Nonlocal gravity and the diffusion equation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, 5 figures. v2: typos corrected, references added. Major changes are an expansion of the discussion of homogeneous pe

Scientific paper

10.1103/PhysRevD.82.123518

We propose a nonlocal scalar-tensor model of gravity with pseudodifferential 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, also in the presence of a barotropic fluid, which are stationary in the diffusion flow. In particular, and contrary to standard general relativity, there exist solutions with exponential and power-law scale factor also in an open universe, as well as solutions with sudden future singularities or a bounce. Also, from the point of view of quantum field theory, spontaneous symmetry breaking can be naturally realized in the class of actions we consider.

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