In the context of f(Q) gravity, cosmological inflation takes a different turn. f(Q) gravity is a modified theory of gravity, where the Lagrangian is a function of the non-metricity scalar Q. f(Q) gravity theory is part of an extensive class of modified gravity theories designed to explain the accelerated expansion of the universe without the requirement for dark energy. In this paper, we study the modified gravity f(Q) in which the scalar field is non-minimally coupled with the matter (it has a new interaction term αQ(1+ϕ2) with the inflaton scalar field (ϕ) and non-metricity scalar (Q)). In pursuit, an inflationary model is extended and investigated by determining the slow-roll parameters and obtaining the model's linear perturbations after calculating the field equation. By comparing the model parameters with the CMB observational data, the model is adapted to observational data through the constraint of the parameters. After some numerical calculations, we show our model is consistent with observational data and free of the phantom if 1<α<1.5 and 1.42<γ2<1.75.

中文翻译：

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非最小 f(Q) 重力模型中的通货膨胀情景


在 f(Q) 引力的背景下，宇宙膨胀发生了不同的转变。 f(Q) 引力是引力的修正理论，其中拉格朗日是非度量标量 Q 的函数。f(Q) 引力理论是广泛的修正引力理论的一部分，旨在解释宇宙的加速膨胀宇宙不需要暗能量。在本文中，我们研究了修正引力 f(Q)，其中标量场与物质非最小耦合（它与暴胀标量场 (phi) 和非最小耦合有一个新的相互作用项 αQ(1+phi2)）度量标量 (Q))。在追求过程中，通过确定慢滚参数并在计算场方程后获得模型的线性扰动来扩展和研究暴胀模型。通过将模型参数与CMB观测数据进行比较，通过参数的约束使模型适应观测数据。经过一些数值计算，我们表明我们的模型与观测数据一致，并且没有 1<α<1.5 和 1.42<γ2<1.75 的幻影。