Analysis of f(R, T) Inflationary Models and Their Response to Planck Data

Anisur Rahaman, S. Aziz
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Abstract

We consider the f(R, T) theory of gravity, in which f(R, T) has a linear functional form where R is the Ricci scalar and T is the trace of the energy-momentum tensor. Next, we analyze the effect of T on the cosmological observable parameters, such as scalar spectral index and tensor-to-scalar ratio framing inflationary models with four distinct but well-known potentials. The potentials that have been used are Coleman-Weinberg potential, radiative potential, K¨ahler Moduli potential, and exponential SUSY potential. We observe that even the amendment of T fails to provide any fruitful impact to make the model framed with Coleman-Weinberg potential a viable phenomenological model. On the other hand, in the models framed with the other three potentials, the cosmological observable parameters agree appreciably more with the recent Planck predictions compared to the scenario where T is not taken into consideration.
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f(R,T)膨胀模型分析及其对普朗克数据的响应
我们考虑了 f(R,T)引力理论,其中 f(R,T)具有线性函数形式,R 是利玛窦标量,T 是能动张量的迹。接下来,我们分析了 T 对宇宙学可观测参数的影响,如标量谱指数和张量与标量比,并用四种不同但众所周知的势框定了暴胀模型。这四种势分别是科尔曼-温伯格势、辐射势、K¨ahler 模立势和指数 SUSY 势。我们观察到,即使修正 T 也无法使科尔曼-温伯格势模型成为一个可行的现象学模型。另一方面,与不考虑 T 的情况相比,在使用其他三种势的模型中,宇宙学观测参数与最近的普朗克预言更为一致。
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