Rindler force at large distances

TL;DR

This paper derives a general theory of gravity at large distances that includes a Rindler term, which could explain part of the Pioneer anomaly and improve galactic rotation curve models.

Contribution

It introduces a new Rindler term into the gravitational force law, extending post-general relativistic theories for distant gravitational fields.

Findings

Rindler force can explain about 10% of the Pioneer anomaly.

Rindler force improves the fit of galactic rotation curves.

The theory aligns with solar system precision data.

Abstract

Given some assumptions it is possible to derive the most general post-general relativistic theory of gravity for the distant field of a point mass. The force law derived from this theory contains a Rindler term in addition to well-known contributions, a Schwarzschild mass and a cosmological constant. The same force law recently was confronted with solar system precision data. The Rindler force, if present in Nature, has intriguing consequences for gravity at large distances. In particular, the Rindler force is capable of explaining about 10% of the Pioneer anomaly and simultaneously ameliorates the shape of galactic rotation curves.