On the Action Principle in Affine Flat Spaces with Torsion

TL;DR

This paper proposes a modified action principle for affine flat spaces with torsion to align with the equivalence principle in Einstein-Cartan-like gravity theories.

Contribution

It introduces a new formulation of the action principle specifically designed for affine flat spaces with torsion, addressing a key theoretical requirement.

Findings

Proposes a modified action principle compatible with the equivalence principle.

Provides a theoretical framework for Einstein-Cartan-like gravity models.

Enhances understanding of torsion in affine geometries.

Abstract

To comply with the equivalence principle in Einstein-Cartan-like theories of gravity we propose a modification of the action principle in affine flat spaces with torsion.