无对称张量场：来自 f(R) 重力模型的线索
Absence of antisymmetric tensor fields : Clue from f(R) model of gravity
AI总结：
本文通过 f(R) 重力模型解释高阶反对称张量场的抑制现象，揭示其在现代宇宙中的不可见性。
摘要：
当今宇宙的一个令人惊讶的方面是，在任何自然现象中都没有明显的高阶反对称张量场的可观测效应。本文在一般 f(R) 重力模型的框架内，即 f(R) = R + α_n R^n 的框架内，探讨了高阶反对称张量场缺失的可能解释。我们探讨了爱因斯坦框架下的设置，其中高曲率通过共形变换表现为具有势能的标量场。我们研究了弗里德曼-勒梅特-罗伯逊-沃尔克 (FRW) 宇宙背景中不同宇宙学参数的演变。我们证明了不同宇宙学参数在不同时期对于不同形式的高曲率重力（即不同 n 值）会表现出标准行为，但模型中正的标量场值为高阶反对称张量场的无质量模式提供了额外的抑制。斯塔罗宾斯基模型（n=2）相比其他 n≠2 的模型提供了更强烈的抑制。即使包括宇宙学常数，结果也不会改变。因此，我们的结果表明，一般修正重力模型可以成功解释高阶反对称张量场无质量模式的抑制，从而导致其在当今宇宙中不可见。
英文摘要：
One of the surprising aspects of the present Universe, is the absence of any noticeable observable effects of higher-rank antisymmetric tensor fields in any natural phenomena. Here, we address the possible explanation of the absence of the higher rank antisymmetric tensor fields within the framework of a general class of $f(R)$ gravity represented by $f (R) = R +α_n R^n$. We explore the setup in Einstein frame, where the higher curvature is manifested in terms of a scalar field with a potential through a conformal transformation. The evolution of different cosmological parameters is studied in the background of FRW universe. We show that while different cosmological parameters mimic their standard behaviour at different epochs for different forms of higher curvature gravity (i.e. different values of n ), the positive values of the scalar field in the models provide an additional suppression for the massless modes of higher rank antisymmetric field, The Starobinsky model identified with $n=2$, provides heavier suppression compared to the others $n\neq2$. The result does not change even with the inclusion of the Cosmological Constant. Thus, our result reveals that a general class of modified gravity models can successfully explain the suppression of the massless modes of higher rank antisymmetric tensor fields leading to their invisibility in the present universe.
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