On the geometric trinity of gravity, non-relativistic limits, and Maxwell gravitation

TL;DR

This paper reveals that Maxwell gravitation forms the core of the non-relativistic geometric trinity of gravity, contrasting with the relativistic case where no such common core exists.

Contribution

It identifies Maxwell gravitation as the dynamical core of the non-relativistic geometric trinity of gravity and explains its absence in the relativistic case.

Findings

Maxwell gravitation is the dynamical core of the non-relativistic geometric trinity.

No similar dynamical core exists in the relativistic geometric trinity.

The paper clarifies differences between non-relativistic and relativistic gravity frameworks.

Abstract

We show that the dynamical common core of the recently-discovered non-relativistic geometric trinity of gravity is Maxwell gravitation. Moreover, we explain why no analogous distinct dynamical common core exists in the case of the better-known relativistic geometric trinity of gravity.