从相互作用粘性广义 QCD 幽灵暗能量模型重建 f(G) 引力：宇宙学与热力学
Reconstruction of f(G) Gravity from an Interacting Viscous Generalized QCD Ghost Dark Energy Model: Cosmology and Thermodynamics: Cosmology and Thermodynamics
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中文总结 AI 辅助
研究在重构 f(G) 引力框架下的相互作用粘性广义 QCD 幽灵暗能量模型，采用混合膨胀定律和数值方法重构 f(G) 函数，检验其宇宙学与热力学意义，该模型为解释宇宙晚期加速膨胀提供了可行且热力学一致的框架。
中文摘要 AI 辅助
本文在《物理快报 B》631, 1--6 (2005) 提出的重构 f(G) 引力框架下，研究了一种相互作用粘性广义 QCD 幽灵暗能量模型。纳入暗物质与暗能量间的相互作用及体粘性来描述更现实的宇宙演化。采用混合膨胀定律重构修正高斯 - 博内函数，将早期物质主导时期与当前宇宙加速膨胀自然连接。因精确解析重构困难，通过数值方法在早期和晚期 regime 获取 f(G) 函数。还考虑了基于数值重构的幂律形式 f(G) 以检验模型宇宙学意义。结果表明重构的 f(G) 函数在宇宙历史中平滑演化，有效状态方程在晚期逐渐趋近德西特相。用 Barrow 熵进一步检验模型热力学行为，总熵非负演化表明广义热力学第二定律有效。研究最终得出，重构 f(G) 引力中的相互作用粘性广义 QCD 幽灵暗能量模型为解释宇宙晚期加速膨胀提供了一个可行且热力学一致的框架。
英文摘要
In this work, we investigate an interacting viscous generalized QCD ghost dark energy model in the framework of reconstructed $f(G)$ gravity proposed in Phys.\ Lett.\ B 631, 1--6 (2005). The interaction between dark matter and dark energy together with bulk viscosity is incorporated to describe a more realistic cosmic evolution. A hybrid expansion law is adopted to reconstruct the modified Gauss-Bonnet function, which naturally connects the early matter-dominated epoch with the present accelerated expansion of the universe. Since an exact analytical reconstruction is difficult, the $f(G)$ function is obtained numerically in both the early- and late-time regimes. Motivated by the numerical reconstruction, a reconstruction-inspired power-law form of $f(G)$ is also considered to examine the cosmological implications of the model. The results show that the reconstructed $f(G)$ function evolves smoothly throughout the cosmic history, while the effective equation of state gradually approaches the de Sitter phase at late times. The thermodynamic behavior of the model is further examined using Barrow entropy following Eur.\ Phys.\ J.\ C 81, 644 (2021). The non-negative evolution of the total entropy shows the validity of the generalized second law of thermodynamics. The study finally concludes that the interacting viscous generalized QCD ghost dark energy model in reconstructed $f(G)$ gravity provides a viable and thermodynamically consistent framework for explaining the late-time accelerated expansion of the universe.
