Abstract

We seek the cosmological outcome of a ghost dark energy (GDE) model with sign-changeable interaction in \(f(R,T)\) modified theory of gravity. We assume that the universe is filled with two fluid, a barotropic fluid, and ghost dark energy. With the particular choice of the functional \(f(R,T)=R+2f(T)\), where \(R\) is the Ricci scalar and \(T\) is the trace of the stress-energy tensor, we obtain exact solutions of the model by using the energy density of generalized GDE and a law of variation for the Hubble parameter \(H\). Interestingly, at late times, the equation of state (EoS) parameter in our model corresponds to a phantom dark energy model showing consistency with the recent observational data. A study of the statefinder parameters demonstrates that our model corresponds to the \(\Lambda\)CDM model at certain time. A correspondence between GDE and Phantom DE is established. The phantom dynamics of the potential and the scalar field is reconstructed, which illustrates the accelerated phase of the Universe. The physical and geometric properties of the model are discussed.

中文翻译：

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$$ \ boldsymbol {f（R，T）} $$的重力相互作用理论

摘要

我们在\（f（R，T）\）修正的重力理论中寻找具有符号可变相互作用的鬼暗能量（GDE）模型的宇宙学结果。我们假设宇宙充满了两种流体，即正压流体和幽灵暗能量。通过特殊选择函数\（f（R，T）= R + 2f（T）\），其中\（R \）是Ricci标量，\（T \）是应力-能量张量的迹线，我们通过使用广义GDE的能量密度和哈勃参数\（H \）的变化定律获得模型的精确解。。有趣的是，在最近的时候，我们模型中的状态方程（EoS）参数对应于幻像暗能量模型，该模型显示了与最新观测数据的一致性。对statefinder参数的研究表明，我们的模型在特定时间对应于\（\ Lambda \） CDM模型。在GDE和Phantom DE之间建立了对应关系。电位和标量场的幻影动力学被重建，这说明了宇宙的加速阶段。讨论了模型的物理和几何特性。