Metric-Affine Version of Myrzakulov $F(R,T,Q,\mathcal{T})$ Gravity and Cosmological Applications

Abstract

We derive the full set of field equations for the Metric-Affine version of the Myrzakulov gravity model and also extend this family of theories to a broader one. More specifically, we consider theories whose gravitational Lagrangian is given by $F(R,T,Q,\mathcal{T},\mathcal{D})$ where $T$, $Q$ are the torsion and non-metricity scalars, $\mathcal{T}$ is the trace of the energy-momentum tensor and $\mathcal{D}$ the divergence of the dilation current. We then consider the linear case of the aforementioned theory and assuming a cosmological setup we obtain the modified Friedmann equations. In addition, focusing on the vanishing non-metricity sector and considering matter coupled to torsion we obtain the complete set of equations describing the cosmological behaviour of this model along with solutions.

11 pages, no figures

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Cited by in corpus (1)

• Metric-Affine Myrzakulov Gravity Theories