The Inflationary with Inverse Power-Law Potential in Tsallis Entropy

被引：0

作者：

Karabat, M. F. ^{[1
]}

机构：

[1] Prof Dr Aziz Sancar Sci & Art Ctr, Chapel Hill, NC 27599 USA

来源：

INTERNATIONAL JOURNAL OF THERMODYNAMICS | 2024年 / 27卷 / 02期

关键词：

Tsallis entropy; inflationary; inverse power-law potential; MODIFIED GRAVITY; DARK ENERGY; NONEXTENSIVITY; CONSTRAINTS;

D O I：

10.5541/ijot.1356867

中图分类号：

O414.1 [热力学];

学科分类号：

摘要：

In this article, we focus on the inflation dynamics of the early Universe using an inverse power law potential scalar field (V-(phi)= V-0 phi(-n))within the framework of Tsallis entropy. First, we derive the modified Friedmann equations from the non-additive Tsallis entropy by applying the first law of thermodynamics to the apparent horizon of the Friedmann- Robertson- Walker (FRW) Universe. We assume that the inflationary era of the Universe consists of two phases; the slow roll inflation phase and the kinetic inflation phase. We obtained the scalar spectral index n(s) and tensor-to-scalar ratio r and compared our results with the latest Planck data for these phases. By choosing the appropriate values for the Tsallis parameters, which bounded by beta < 2, and the inverse power-term of the potential n, we determined that the inflation era of the Universe in Tsallis entropy can only occur in the second phase (kinetic inflation), while the slow-roll inflation phase is incompatible with the Planck data.

引用

页码：37 / 42

页数：6

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