AI 中文总结
研究 f(R,T) 引力线性形式下含陈 - 西蒙斯修正的宇宙暴胀，通过慢滚近似推导方程，考虑特定耦合函数与暴胀势，计算相关指数和比值，约束参数使其预测与普朗克等数据相符，显示陈 - 西蒙斯修正优化了相关值。
AI 中文摘要
我们在 f(R,T) 引力的线性形式框架内研究宇宙暴胀，该框架包含一个暴胀标量场，并由量子引力方面引起的陈 - 西蒙斯修正增强。利用 FLRW 度规，在慢滚近似下推导修正的弗里德曼方程。考虑陈 - 西蒙斯耦合函数的两种特定形式，三角函数和指数函数，每种都与暴胀势的选择配对。定义基本慢滚参数并获取其表达式。计算标量谱指数、张量谱指数和张量与标量比。通过充分约束自由参数，该模型对这些暴胀可观测量提供了与普朗克 2018 数据高度一致的准确预测。此外，该模型对陈 - 西蒙斯指数耦合函数的预测对张量与标量比的值施加了更强的限制，并且也与普朗克、BK15 和 BAO 的联合数据高度一致。同时，为了进行比较分析，我们还研究了没有陈 - 西蒙斯修正、没有 f(R,T) 引力线性形式以及具有 f(R,T) 引力非线性形式的模型。总体结论是，研究结果表明在 f(R,T) 引力线性形式的背景下，包含陈 - 西蒙斯修正近似地优化了张量谱指数和张量与标量比的值。
英文摘要
We investigate cosmological inflation within the framework of a linear form of f (R, T ) gravity that incorporates an inflaton scalar field augmented by a Chern-Simons correction induced by aspects of quantum gravity. Utilizing the FLRW metric, we derive the modified Friedmann equations under the slow-roll approximations. We consider two specific forms of the Chern-Simons coupling function, trigonometric and exponential, each paired with the choice of an inflaton potential. Then, we define the essential slow-roll parameters and acquire their required expressions in the proposed model. Subsequently, we compute the scalar spectral index, the tensor spectral index, and the tensor-to- scalar ratio. By adequately constraining the free parameters, the proposed model provides accurate predictions for these inflationary observables that are in good agreement with the Planck 2018 data. Furthermore, the model predictions for the Chern-Simons exponential coupling function impose a stronger limit on the value of the tensor-to-scalar ratio and also provide good agreement with the joint Planck, BK15 and BAO data. Meanwhile, for comparative analysis and better comparison of the model motivations, we also examine the model without the Chern-Simons correction, without the linear form of f (R, T ) gravity, and with a non-linear form of f (R, T ) gravity. As a general conclusion, the obtained findings indicate that the inclusion of the Chern-Simons correction approximately refines the values of the tensor spectral index and tensor-to-scalar ratio in the context of the linear form of f (R, T ) gravity.
Comments19 pages, 16 figures
