Model for gravity at large distances

TL;DR

This paper develops an effective large-scale gravity model around a central object, revealing a Rindler acceleration term that causes anomalous test-particle acceleration, extending general relativity predictions.

Contribution

It introduces a novel Rindler acceleration term in the effective gravity model at large distances, not previously accounted for in standard general relativity.

Findings

Identification of a Rindler acceleration term in the model

Prediction of anomalous acceleration in test-particle geodesics

Consistency with general relativity except for the Rindler term

Abstract

We construct an effective model for gravity of a central object at large scales. To leading order in the large radius expansion we find a cosmological constant, a Rindler acceleration, a term that sets the physical scales and subleading terms. All these terms are expected from general relativity, except for the Rindler term. The latter leads to an anomalous acceleration in geodesics of test-particles.