Effective Nonlocal Euclidean Gravity

Details Effective Nonlocal Euclidean Gravity Effective Nonlocal Euclidean Gravity

1997-04-18

arxiv.org/abs/gr-qc/9704052v1

Gen.Rel.Grav. 30 (1998) 159-172

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, LaTex

Scientific paper

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 Newton's constant between regions of space with vanishing or nonvanishing curvature scalar (or Ricci tensor). In cosmology they may lead to a value $\Omega<1$ 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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