Metric-Affine Myrzakulov Gravity Theories

TL;DR

This paper reviews and extends Myrzakulov Gravity models into metric-affine frameworks, deriving their field equations and exploring cosmological implications using a linear function in a FLRW background.

Contribution

It introduces metric-affine generalizations of Myrzakulov Gravity models and analyzes their cosmological solutions with a focus on linear functions.

Findings

Derived field equations for metric-affine Myrzakulov models.

Explored cosmological solutions in FLRW background.

Discussed sub-cases and particular models within the framework.

Abstract

In this paper we review the Myrzakulov Gravity models (MG-N, with $\mathrm{N = I, II, \ldots, VIII}$) and derive their respective metric-affine generalizations (MAMG-N), discussing also their particular sub-cases. The field equations of the theories are obtained by regarding the metric tensor and the general affine connection as independent variables. We then focus on the case in which the function characterizing the aforementioned metric-affine models is linear and consider a Friedmann-Lema\^{i}tre-Robertson-Walker background to study cosmological aspects and applications.