On the extension of the Obukhov theorem in non-Riemannian gravity I

TL;DR

This paper extends the Obukhov theorem within the framework of Metric-Affine gravity, considering more general actions that include scalar and other fields independent of the metric and connection.

Contribution

It introduces a generalization of the Obukhov theorem in the context of Tucker-Wang approach to Metric-Affine gravity, accommodating broader actions with additional fields.

Findings

Generalized Obukhov theorem in Metric-Affine gravity

Inclusion of scalar and independent fields in the action

Foundation for further extensions in subsequent papers

Abstract

This is a first paper of a series in which we give some generalizations of the Obukhov theorem in the Tucker-Wang approach to Metric- Affine gravity in which we consider more general actions containing scalar and in general fields which do not depend on the metric or connection.