Nonlocal Modification of Newtonian Gravity
General Relativity and Quantum Cosmology
2010-04-29 v2 Cosmology and Nongalactic Astrophysics
High Energy Physics - Theory
Abstract
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.
Cite
@article{arxiv.1002.1425,
title = {Nonlocal Modification of Newtonian Gravity},
author = {Hans-Joachim Blome and Carmen Chicone and Friedrich W. Hehl and Bahram Mashhoon},
journal= {arXiv preprint arXiv:1002.1425},
year = {2010}
}
Comments
11 pages, 1 figure; v2: minor typos corrected, accepted for publication in Phys. Rev. D