具有宇宙学参数的 $f(\mathcal{G},\mathrm{\textit{T}})$ 引力反弹宇宙
$f(\mathcal{G},\mathrm{\textit{T}})$ Gravity Bouncing Universe with Cosmological Parameters
AI总结：
本文在 $f(\mathcal{G},\mathrm{\textit{T}})$ 引力框架下研究反弹宇宙，通过选择两个状态方程参数得到精确反弹解，并验证其与当前减速、jerk 和 snap 参数观测值一致，同时强调模型参数对守恒方程有效性的重要作用。
摘要：
近年来，Gauss-Bonnet $f(\mathcal{G},\mathrm{\textit{T}})$ 引力理论因其将应力-能量张量的迹 $T$ 与 Gauss-Bonnet 项 $\mathcal{G}$ 耦合而吸引了大量研究者。在此背景下，我们专注于研究 $f(\mathcal{G},\mathrm{\textit{T}})$ 引力背景下的反弹宇宙。文中给出了一些重要的预备知识，并讨论了宇宙学参数，以建立关于 $f(\mathcal{G},\mathrm{\textit{T}})$ 引力理论的最小背景。通过选择两个状态方程参数，给出了具有物理分析的精确反弹解。结果表明，所得结果与当前的减速参数、 jerk 参数和 snap 参数值一致。此外，结论指出模型参数对于守恒方程的有效性相当重要（因为物质耦合理论不遵循通常的守恒定律）。
英文摘要：
In recent few years, the Gauss-Bonnet $f(\mathcal{G},\mathrm{\textit{T}})$ theory of gravity has fascinated considerable researchers owing to its coupling of trace of the stress-energy tensor $T$ with the Gauss-Bonnet term $\mathcal{G}$. In this context, we focuss ourselves to study bouncing universe with in $f(\mathcal{G},\mathrm{\textit{T}})$ gravity background. Some important preliminaries are presented along with the discussion of cosmological parameters to develop a minimal background about $f(\mathcal{G},\mathrm{\textit{T}})$ theory of gravity. The exact bouncing solutions with physical analysis are provided with the choice of two equation of state parameters. It is shown that the results do agree with the present values of deceleration, jerk and snap parameters. Moreover, it is concluded that the model parameters are quite important for the validity of conservation equation (as the matter coupled theories do not obey the usual conservation law).
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