Nonlocal Gravity Simulates Dark Matter

TL;DR

This paper develops a nonlocal gravity theory that mimics dark matter effects, providing a new perspective on astrophysical observations without invoking unseen particles.

Contribution

It introduces a nonlocal generalization of Einstein's gravity within gauge theory, explaining dark matter phenomena as an integral transform of matter.

Findings

Nonlocal gravity reproduces dark matter effects in astrophysics

The theory aligns with Tohline-Kuhn dark matter evidence

Dark matter can be modeled as a nonlocal integral of matter

Abstract

A nonlocal generalization of Einstein's theory of gravitation is constructed within the framework of the translational gauge theory of gravity. In the linear approximation, the nonlocal theory can be interpreted as linearized general relativity but in the presence of "dark matter" that can be simply expressed as an integral transform of matter. It is shown that this approach can accommodate the Tohline-Kuhn treatment of the astrophysical evidence for dark matter.