Distribution of Dark Matter around a Central Body, Pioneer Effect and Fifth Force

TL;DR

This paper calculates dark matter distribution around a central body within a unified field theory, proposing modifications to Newtonian gravity that could explain the Pioneer effect and relate to a fifth force.

Contribution

It introduces a new theoretical framework that alters Newtonian gravity formulas to account for dark matter effects and explains the Pioneer anomaly.

Findings

Dark matter distribution affects gravitational forces

Modified equations suggest an additional radial force

Potential link between fifth force and dark matter effects

Abstract

Within the framework of the Projective Unified Field Theory the distribution of a dark matter gas around a central body is calculated. As a result the well-known formulas of the Newtonian gravitational interaction are altered. This dark matter effect leads to an additional radial force (towards the center) in the equation of motion of a test body, being used for the explanation of the so-called ``Pioneer effect'', measured in the solar system, but without a convincing theoretical basis up to now. Further the relationship of the occurring new force to the so-called ``fifth force'' is discussed.