Nonlocal Gravity: Modification of Newtonian Gravitational Force in the Solar System

TL;DR

This paper explores how nonlocal gravity modifies Newtonian gravitational force within the solar system, potentially mimicking dark matter effects and providing constraints on model parameters.

Contribution

It analyzes the deviation from Newton's law caused by nonlocal gravity in the solar system and refines the lower limit of the model's short-range parameter.

Findings

Deviation from Newtonian gravity within 100 AU due to nonlocal effects

Improved lower limit for the short-range parameter of NLG

Potential explanation for dark matter phenomena

Abstract

Nonlocal gravity (NLG) is a classical nonlocal generalization of Einstein's theory of gravitation developed in close analogy with the nonlocal electrodynamics of media. It appears that the nonlocal aspect of the universal gravitational interaction could simulate dark matter. Within the Newtonian regime of NLG, we investigate the deviation of the gravitational force from the Newtonian inverse square law as a consequence of the existence of the effective dark matter. In particular, we work out the magnitude of this deviation in the solar system out to 100 astronomical units. Moreover, we give an improved lower limit for the short-range parameter of the reciprocal kernel of NLG.