In this paper we derive a novel cosmological model from the theory of gravitation, for which is the Ricci scalar and is the trace of the energy-momentum tensor. We consider the functional form , with being the Starobinsky Model, named , and , with and being constants. We show that a hybrid expansion law form for the scale factor is a solution for the derived Friedmann-like equations. In this way, the model is able to predict both the decelerated and the accelerated regimes of expansion of the universe, with the transition redshift between these stages being in accordance with recent observations. We also apply the energy conditions to our material content solutions. Such an application makes us able to obtain the range of acceptability for the free parameters of the model, named and .

中文翻译：

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形式主义中Starobinsky模型的宇宙学场景

在本文中，我们从中得出了一个新颖的宇宙学模型。 引力理论，它是里奇标量，是能量动量张量的踪迹。我们考虑功能形式，与作为斯塔罗宾斯基型号，命名，和，具有和是常量。我们表明，比例因子的混合展开定律形式是导出的Friedmann-like方程的解。通过这种方式，该模型能够预测宇宙膨胀的减速状态和加速状态，并且这些阶段之间的转变红移与最近的观察一致。我们还将能量条件应用于我们的材料含量解决方案。这样的应用程序使我们能够获得名为和的模型的自由参数的可接受范围。