Abstract The present study reports reconstruction schemes for tachyon, k-essence and dilaton scalar field model of Dark Energy (DE) through Tsallis holographic dark fluid under the framework of Chern–Simons modified gravity. Reproducing the conservation equation for a coupled model with interaction term Q = 3 H b 2 ρ m $Q=3H{b}^{2}{\rho }_{m}$ we have reconstructed the different scalar fields and the corresponding potentials. In the case of tachyon, ΛCDM fixed point is attained under this cosmological settings. Considering k-essence in this interacting situation, we have derived some constraints on the interaction term as well as Tsallis holographic dark energy parameter. Reconstructing dilaton scalar field, we have studied the behavior of scalar field and potential. In all those cases, the reconstructed Equation of State (EoS) parameters have been plotted and when computed for current universe z = 0 are found to be consistent with various observational data including Planck + WP + BAO. The only exception is a particular case of reconstructed k-essence model where phantom behavior is apparent, but its numerical value is deviated from the bounce set by the observations. Expressions for different constraints have been obtained and evolutionary behavior of reconstructed scalar fields and potentials for the various cases have been pictorially presented. Finally, we have developed a functional relationship between Hubble parameter and redshift and optimized the parameter values through χ 2 minimization using the observed Hubble parameter values from Hai Yu et al. 2018 ApJ 856 3.

中文翻译：

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Chern-Simons 中 Tsallis 全息标量场模型的宇宙学修正引力和通过 χ2 最小化优化模型参数

摘要 本研究报告了在陈-西蒙斯修正引力框架下通过 Tsallis 全息暗流体重建暗能量 (DE) 的快子、k-本质和膨胀标量场模型的方案。重现具有相互作用项 Q = 3 H b 2 ρ m $Q=3H{b}^{2}{\rho }_{m}$ 的耦合模型的守恒方程，我们重建了不同的标量场和相应的势. 在快子的情况下，ΛCDM 固定点是在这种宇宙学设置下获得的。考虑到这种相互作用情况下的 k-essence，我们推导出了对相互作用项以及 Tsallis 全息暗能量参数的一些约束。重建膨胀子标量场，我们研究了标量场和势的行为。在所有这些情况下，重建的状态方程 (EoS) 参数已经绘制出来，当计算当前宇宙 z = 0 时，发现与包括普朗克 + WP + BAO 在内的各种观测数据一致。唯一的例外是重构 k-essence 模型的一个特殊情况，其中幻影行为很明显，但其数值与观察设置的反弹有偏差。已经获得了不同约束的表达式，并以图形方式呈现了重建标量场和各种情况下的势能的演化行为。最后，我们开发了哈勃参数和红移之间的函数关系，并使用来自 Hai Yu 等人的观察到的哈勃参数值通过 χ 2 最小化优化了参数值。2018 年 APJ 856 3.