Cosmological model from the holographic equipartition law with a modified Renyi entropy

被引：172

作者：

Komatsu, Nobuyoshi ^{[1
]}

机构：

[1] Kanazawa Univ, Dept Mech Syst Engn, Kakuma Machi, Kanazawa, Ishikawa 9201192, Japan

来源：

EUROPEAN PHYSICAL JOURNAL C | 2017年 / 77卷 / 04期

关键词：

EQUATION-OF-STATE; DECAYING VACUUM; THERMODYNAMICS; ENERGY; QUINTESSENCE; SUPERNOVAE; EMERGENCE; RADIATION; CONSTANT; CREATION;

D O I：

10.1140/epjc/s10052-017-4800-2

中图分类号：

O412 [相对论、场论]; O572.2 [粒子物理学];

学科分类号：

摘要：

Cosmological equations were recently derived by Padmanabhan from the expansion of cosmic space due to the difference between the degrees of freedom on the surface and in the bulk in a region of space. In this study, a modified Renyi entropy is applied to Padmanabhan's 'holographic equipartition law', by regarding the Bekenstein-Hawking entropy as a nonextensive Tsallis entropy and using a logarithmic formula of the original Renyi entropy. Consequently, the acceleration equation including an extra driving term (such as a time-varying cosmological term) can be derived in a homogeneous, isotropic, and spatially flat universe. When a specific condition is mathematically satisfied, the extra driving term is found to be constant-like as if it is a cosmological constant. Interestingly, the order of the constant-like term is naturally consistent with the order of the cosmological constant measured by observations, because the specific condition constrains the value of the constant-like term.

引用

页数：12

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