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Barrow holographic dark energy models in f(Q) symmetric teleparallel gravity with Lambert function distribution
International Journal of Geometric Methods in Modern Physics ( IF 2.1 ) Pub Date : 2022-09-30 , DOI: 10.1142/s0219887823500196
M. Koussour 1 , S. H. Shekh 2 , H. Filali 3 , M. Bennai 1, 3
Affiliation  

The paper presents Barrow holographic dark energy (infrared cut-off is the Hubble horizon) suggested by Barrow [The area of a rough black hole, Phys. Lett. B 808 (2020) 135643] recently in an anisotropic Bianchi type-I Universe within the framework of f(Q) symmetric teleparallel gravity, where the non-metricity scalar Q is responsible for the gravitational interaction. We consider two cases: Interacting and non-interacting models of pressureless dark matter and Barrow holographic dark energy by solving f(Q) symmetric teleparallel field equations. To find the exact solutions of the field equations, we assume that the time-redshift relation follows a Lambert function distribution as t(z)=mt0lg(z), where g(z)=LambertWlmelln(1+z)m, m and l are non-negative constants and t0 represents the age of the Universe. Moreover, we discuss several cosmological parameters such as energy density, equation of state (EoS) and skewness parameters, squared sound speed, and (ωBωB) plane. Finally, we found the values of the deceleration parameter (DP) for the Lambert function distribution as q(z=0)=0.45 and q(z=1)=1 which are consistent with recent observational data, i.e. DP evolves with cosmic time from initial deceleration to late-time acceleration.



中文翻译:

f(Q) 对称远距平行引力中具有 Lambert 函数分布的 Barrow 全息暗能量模型

该论文介绍了 Barrow [The area of​​ a rough black hole, Phys. 莱特。B  808 (2020) 135643] 最近在一个各向异性的比安奇 I 型宇宙的框架内F()对称远平行引力,其中非公制标量负责引力相互作用。我们考虑两种情况:无压力暗物质和巴罗全息暗能量的相互作用和非相互作用模型,通过求解F()对称远平行场方程。为了找到场方程的精确解,我们假设时间-红移关系服从 Lambert 函数分布为(z)=0G(z), 在哪里G(z)=兰伯特W电子(1个+z),是非负常数和0代表宇宙的年龄。此外,我们还讨论了几个宇宙学参数,例如能量密度、状态方程 (EoS) 和偏度参数、平方声速和(ωω)飞机。最后,我们发现 Lambert 函数分布的减速参数 (DP) 的值为q(z=0)=0.4个5个q(z=1个)=1个这与最近的观测数据一致,即 DP 随宇宙时间从初始减速到后期加速演化。

更新日期:2022-09-30
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