Woods-Saxon暴胀的修正引力框架：理论基础与观测约束
Modified Gravity Framework for the Woods-Saxon Inflation: Theoretical Foundations and Observational Constraints
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中文总结 AI 辅助
本文在$f(\phi)T$修正引力框架下，采用Woods-Saxon势研究暴胀，得到与Planck和BICEP/Keck数据一致的$n_s$和$r$值，证明该耦合对模型观测可行性至关重要。
中文摘要 AI 辅助
我们在一个修正引力理论中研究暴胀情景，该理论通过暴胀子$\phi$与能量-动量张量的迹$T$之间的非最小耦合来扩展爱因斯坦-希尔伯特作用量。这个$f(\phi)T$框架被设计为在暴胀后的宇宙中自然地恢复标准广义相对论。在此理论中，我们应用Woods-Saxon势。慢滚动力学为我们特定的耦合函数选择产生了光速声速$c_s^2=1$。对于模型参数$a \lesssim 1$和适度耦合$\beta=0.1$，我们得到标量谱指数$n_s\approx0.959$--$0.966$和张量-标量比$r<0.01$，这与最新的Planck和BICEP/Keck数据在$(n_s, r)$约束上显示出良好的一致性。至关重要的是，我们将证明$f(\phi)T$耦合对于模型在CMB两点统计方面的观测可行性是必不可少的。这项工作在本文所考虑的暴胀观测量的范围内建立了一个可行的暴胀情景。
英文摘要
We investigate an inflationary scenario within a modified gravity theory that extends the Einstein-Hilbert action through a non-minimal coupling between the inflaton $ϕ$ and the trace of the energy-momentum tensor $T$. This $f(ϕ)T$ framework is designed to naturally recover the standard general relativity in the post-inflationary universe. Within this theory, we apply the Woods-Saxon potential. The slow-roll dynamics yields a luminal sound speed $c_s^2=1$ for our specific choice of the coupling function. For the model parameters $a \lesssim 1$ and the modest coupling $β=0.1$, we obtain a scalar spectral index $n_s\approx0.959$--$0.966$ and a tensor-to-scalar ratio $r<0.01$, which reveal a good agreement with the latest Planck and BICEP/Keck data on the $(n_s, r)$ constraints. Crucially, we shall demonstrate that the $f(ϕ)T$ coupling is essential for the observational viability of the model with respect to the CMB two-point statistics. This work establishes a viable inflationary scenario within the scope of the inflationary observables which are considered here.
发表机构
- Amirkabir University of Technology (Tehran Polytechnic)（阿米尔卡比尔理工大学（德黑兰理工大学））
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