Non-Riemannian Gravitation amd its relation with Levi-Civita theories

TL;DR

This paper explores the connections between Non-Riemannian gravity models, Einstein-Proca theories, and scalar field theories, highlighting their mathematical relationships.

Contribution

It provides a detailed analysis of the mathematical relations linking Non-Riemannian gravity to Einstein-Proca and scalar field theories, clarifying their theoretical connections.

Findings

Identifies mathematical links between Non-Riemannian gravity and Einstein-Proca theories.

Shows relations between Non-Riemannian models and scalar field theories.

Clarifies the theoretical framework connecting these gravity models.

Abstract

The mathematical relations between certain classical Non-Riemannian gravity models and Einstein-Proca theories are discussed in details. We also show some relations with theories with scalar fields.