English

Nonlocal Gravity in the Solar System

General Relativity and Quantum Cosmology 2016-03-23 v2 Earth and Planetary Astrophysics

Abstract

The implications of the recent classical nonlocal generalization of Einstein's theory of gravitation for gravitational physics in the Solar System are investigated. In this theory, the nonlocal character of gravity appears to simulate dark matter. Nonlocal gravity in the Newtonian regime involves a reciprocal kernel with three spatial parameters, of which two have already been determined from the rotation curves of spiral galaxies and the internal dynamics of clusters of galaxies. However, the short-range parameter a_0 remains to be determined. In this connection, the nonlocal contribution to the perihelion precession of a planetary orbit is estimated and a preliminary lower limit on a_0 is determined.

Keywords

Cite

@article{arxiv.1508.01508,
  title  = {Nonlocal Gravity in the Solar System},
  author = {C. Chicone and B. Mashhoon},
  journal= {arXiv preprint arXiv:1508.01508},
  year   = {2016}
}

Comments

25 pages, 4 figures; v2: expanded version accepted for publication in CQG

R2 v1 2026-06-22T10:28:08.346Z