Instantaneous interaction in massive gravity

TL;DR

This paper investigates how Lorentz-violating massive gravity models can exhibit physical instantaneous interactions due to the breakdown of cancellations present in general relativity.

Contribution

It introduces and analyzes a Lorentz-violating massive gravity model demonstrating the possibility of observable instantaneous gravitational interactions.

Findings

Instantaneous interactions arise in Lorentz-violating massive gravity.

Cancellations present in general relativity are broken in the model.

The model predicts potential observable effects of instantaneous gravity.

Abstract

In general relativity, the instantaneous contributions to the gravitational potentials cancel each other in observable, leaving the theory free of physical instantaneous interactions. In models where these subtle cancellations are spoiled by the presence of fields that break Lorentz invariance, physical instantaneous interactions are possible. Such interactions are studied for a model of Lorentz- violating massive gravity.