On the gauge features of gravity on a Lie algebroid structure

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.

We corrected a mistake in Eq (8). This equation is only part of the review presented in the introduction and does not effect the rest of the paper

References in corpus (4)

• Non-geometric strings, symplectic gravity and differential geometry of Lie algebroids
• Groupoids, Loop Spaces and Quantization of 2-Plectic Manifolds
• Translations and dynamics
• On the equation of motion for test particles in an ambient gravitational field as the Wong equation for a generalized gauge theory

Cited by in corpus (4)

• Conserved charges in Chern-Simons modified theory and memory effects
• Gravity generated by four one-dimensional unitary gauge symmetries and the Standard Model
• Killing sections and sigma models with Lie algebroid targets
• Carrollian Lie Algebroids: Taming Singular Carrollian Geometries