Nonlocal Modification of Newtonian Gravity

Details Nonlocal Modification of Newtonian Gravity Nonlocal Modification of Newtonian Gravity

2010-02-07

arxiv.org/abs/1002.1425v2

Phys.Rev.D81:065020,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 1 figure; v2: minor typos corrected, accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.81.065020

The Newtonian regime of a recent nonlocal extension of general relativity (GR) 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 GR. 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.

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