Myrzakulov $F(R,T,Q, {\cal T})$引力的度规-仿射形式及其在宇宙学中的应用
Metric-Affine Version of Myrzakulov $F(R,T,Q, {\cal T})$ Gravity and Cosmological Applications
摘要：
我们推导出米扎库洛夫重力模型的度量仿射版本的场方程的全套，也扩展了这个家庭的理论，以更广泛的。更具体地说，我们考虑的理论的引力拉格朗日是由$F(R,T,Q, {\cal T},{\cal D})$，$T$，$Q$是扭转和非度量标量，${\cal T}$是跟踪的能量动量张量和${\cal D}$的扩张电流的发散。然后，我们考虑上述理论的线性情况，并假设宇宙学设置，我们得到修改后的弗里德曼方程。此外，专注于消失的非度规部门，并考虑耦合到扭转的问题，我们得到了完整的方程组描述这个模型的宇宙学行为的解决方案。
英文摘要：
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 $F(R,T,Q, {\cal T},{\cal D})$ where $T$, $Q$ are the torsion and non-metricity scalars, ${\cal T}$ is the trace of the energy-momentum tensor and ${\cal D}$ 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.
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