Effective Nonlocal Euclidean Gravity |
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Authors: | Christof Wetterich |
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Abstract: | A nonlocal form of the effective gravitational action could cure the unboundedness of euclidean gravity with Einstein action. On sub-horizon length scales the modified gravitational field equations seem compatible with all present tests of general relativity and post-Newtonian gravity. They induce a difference in the effective Newtonian constant between regions of space with vanishing or nonvanishing curvature scalar (or Ricci tensor). In cosmology they may lead to a value < 1 for the critical density after inflation. The simplest model considered here appears to be in conflict with nucleosynthesis, but generalizations consistent with all cosmological observations seem conceivable. |
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Keywords: | TESTS OF GENERAL RELATIVITY INFLATIONARY COSMOLOGY |
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