In this work, we present a few simple cosmological models under the modified theory of gravity in the particular form of [Formula: see text], where [Formula: see text] is the Ricci Scalar and [Formula: see text] is the trace of the energy–momentum tensor. Two special cosmological models are studied with (i) hyperbolic scale factor and (ii) specific form of the Hubble parameter. The models are observed to predict relevant cosmological parameters closer to the observational values. Both the models reduce to overlap with the [Formula: see text]CDM model at late times. We have discussed some interesting results related to wormhole solutions as evolved from our model. The possible occurrence of Big Trip in wormholes for the models are also discussed.

中文翻译：

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修正重力中具有平方迹线的宇宙学模型

在这项工作中，我们以[公式：见文本]的特定形式提出了一些在修正引力理论下的简单宇宙学模型，其中[公式：见文本]是里奇标量，[公式：见文本]是迹的能量-动量张量。使用（i）双曲比例因子和（ii）哈勃参数的特定形式研究了两个特殊的宇宙学模型。观察模型以预测更接近观测值的相关宇宙学参数。两种模型都在后期减少到与[公式：见正文]CDM模型的重叠。我们已经讨论了一些与从我们的模型演变而来的虫洞解决方案相关的有趣结果。还讨论了模型在虫洞中可能发生的 Big Trip。