Nonlocal modification of Newtonian gravity
Chicone, Carmen Charles
Hehl, F. W. (Friedrich W.), 1937-
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The Newtonian regime of a recent nonlocal extension of general relativity is investigated. Nonlocality is introduced via a scalar “constitutive” kernel in a special case of the translational gauge theory of gravitation, namely, the teleparallel equivalent of general relativity. In this theory, the nonlocal aspect of gravity simulates dark matter. A nonlocal and nonlinear generalization of Poisson's equation of Newtonian gravitation is presented. The implications of nonlocality for the gravitational physics in the solar system are briefly studied.
Physics and Astronomy publications
Phys. Rev. D 81, 065020 (2010) [11 pages]