发表机构
Birla Institute of Technology and Science; University of Science and Technology of China（比拉理工科学研究所; 中国科学技术大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
该研究在含物质-几何非最小耦合的f(T,L_m)引力框架中，探讨Starobinsky型平台暴胀的动力学，分析耦合对CMB相关可观测量的影响，发现模型在宽参数范围仍可行且耦合可留下可检验原初印记。
AI 中文摘要
我们在具有挠率与物质 sector 非最小耦合的改进平行引力框架中研究慢滚暴胀。聚焦于 Starobinsky 型平台暴胀，我们推导了修正的背景动力学及相应的慢滚可观测量，考察引力耦合如何影响标量谱指数、张量标量比及谱指数的跑动。该模型在适当的弱耦合极限下连续恢复标准 Starobinsky 情景，而物质-几何耦合会对暴胀预言产生非单调修正。我们发现弱耦合使标准预言基本不变，较强耦合则会显著改变标量谱指数，最终可能与当前宇宙微波背景（CMB）约束不相容。二次挠率修正在受控低能区域内影响相对温和，主要作用于张量振幅。我们将所得预言与 Planck 及 BICEP/Keck 约束对比，发现该模型在暴胀参数空间的宽范围内仍可行。我们的结果表明，物质-几何耦合可在原初可观测量上留下潜在可检验的印记，同时保留 Starobinsky 情景成功的平台暴胀现象学。
英文摘要
We investigate slow-roll inflation in a modified teleparallel framework with a non-minimal coupling between torsion and the matter sector. Focusing on Starobinsky-type plateau inflation, we derive the modified background dynamics and the corresponding slow-roll observables, and examine how the gravitational couplings affect the scalar spectral index, tensor-to-scalar ratio, and running of the spectral index. The model continuously recovers the standard Starobinsky scenario in the appropriate weak-coupling limit, while the matter--geometry coupling produces a non-monotonic modification of the inflationary predictions. We find that weak couplings leave the standard predictions essentially unchanged, whereas stronger couplings can significantly shift the scalar spectral index and eventually become incompatible with current cosmic microwave background constraints. The quadratic torsion correction has a comparatively mild impact within the controlled low-energy regime, primarily affecting the tensor amplitude. We confront the resulting predictions with the Planck and BICEP/Keck constraints and find that the model remains viable over a broad range of the inflationary parameter space. Our results demonstrate that the matter--geometry coupling can leave a potentially testable imprint on primordial observables while retaining the successful plateau-inflation phenomenology of the Starobinsky scenario.
Comments14 pages, 6 figures
