Warm Inflation Triggered by Entropies of Some Recent Dark Energy Models within $f(Q)$ Gravity

R. Saleem, Muhammad Hamza Rasool, M. Aslam, Iqra Shahid
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Abstract

This manuscript aims to study cosmic warm inflation (WI) in the framework of $f(Q)$ gravity, where $Q$ represents the nonmetricity (NM) scalar. To accomplish this task, we introduce the Tsallis, Renyi, and Barrow holographic dark energy (HDE) entropies into the standard Friedmann equations. Utilizing the slow-roll (SR) approximation, we find exact analytic solutions for the inflaton field, the effective potential necessary to produce inflation, and the scale factor for both low and high-dissipative regimes. We calculate key parameters, including SR parameters, the number of e-folds, the scalar spectral index and its running, and finally tensor-to-scalar ratio to assess the accuracy of the chosen DE models in light of the published observational data. The allowed ranges of the involved free parameters are found from the limits on inflationary observables imposed by the Planck data. It is concluded that the obtained results are consistent with proposed theoretical predictions up to $2\sigma$ confidence level.
近期一些暗能量模型在 $f(Q)$ 引力范围内的熵引发的暖膨胀
本手稿旨在$f(Q)$引力框架下研究宇宙暖膨胀(WI),其中$Q$代表非度量(NM)标量。为了完成这一任务,我们在标准弗里德曼方程中引入了查里斯、雷尼和巴罗全息暗能量(HDE)熵。利用慢速滚动(SR)近似,我们找到了膨胀场的精确解析解、产生膨胀所需的有效势,以及低耗散和高耗散状态下的尺度因子。我们计算了关键参数,包括 SR 参数、e-折叠数、标量谱指数及其运行,以及最后的张量标量比,以便根据已公布的观测数据评估所选 DE 模型的准确性。所涉及的自由参数的允许范围是根据普朗克数据对通胀观测值的限制而确定的。结论是所得到的结果与所提出的理论预测一致,置信度可达 2 美元。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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