On the gauge features of gravity on a Lie algebroid structure

TL;DR

This paper introduces a geometric formulation of gravity using Lie Algebroid structures, providing a new mathematical framework to describe gravity's gauge properties.

Contribution

It presents a novel geometric approach to gravity based on Lie Algebroids, highlighting its gauge features and offering a new perspective in gravitational theory.

Findings

Lie Algebroid structures model gravitational gauge properties

The framework unifies geometric and gauge aspects of gravity

Provides a foundation for further mathematical exploration of gravity

Abstract

We present the geometric formulation of gravity based on the mathematical structure of a Lie Algebroid. We show that this framework provides the geometrical setting to describe the gauge propriety of gravity.