标题： 在$f(R,T)$引力中的修正全息Ricci暗能量的重建 显示英文标题

标题： A reconstruction of modified holographic Ricci dark energy in $f(R,T)$ gravity

摘要： 在本文中，我们考虑了一种最近提出的暗能量（DE）模型，称为修正全息Ricci暗能量（MHRDE）（它是哈勃参数及其相对于宇宙时间$t$的一阶导数的函数），在$f(R,T)$改变引力模型的背景下，考虑特定模型$f(R,T) = \mu R + \nu T$，其中$\mu$和$\nu$为常数。 状态方程（EoS）参数$\omega_{\Lambda}$接近但永远不会达到-1的值，这表明该模型具有类似宇宙学常数的行为。 减速参数$q$在红移$z\approx 0.2$时从减速阶段过渡到加速阶段，也显示出对所考虑参数值的小依赖性。 得益于状态寻找诊断分析，我们观察到所考虑模型的$\Lambda$CDM 阶段是可达到的。 我们观察到，DE 和 DM 的分数能量密度$\Omega_{\Lambda}$和$\Omega_m$分别随着宇宙的演化呈现出增加和减少的趋势，表明宇宙从物质主导向 DE 主导的演化。 最后，研究我们模型中的声速平方$v_s^2$，我们发现它是经典稳定的。 显示英文摘要

摘要： In this paper, we consider a recently proposed model of Dark Energy (DE) know as Modified Holographic Ricci DE (MHRDE) (which is function of the Hubble parameter and its first derivative with respect to the cosmic time $t$) in the light of the $f(R,T)$ model of modified gravity, considering the particular model $f(R,T) = \mu R + \nu T$, with $\mu$ and $\nu$ constants. The equation of state (EoS) parameter $\omega_{\Lambda}$ approaches but never reaches the value -1, implying a quintessence-like behavior of the model. The deceleration parameter $q$ passes from decelerated to accelerated phase at a redshift of $z\approx 0.2$, showing also a small dependence from the values of the parameters considered. Thanks to the statefinder diagnostic analysis, we observed that the $\Lambda$CDM phase for the considered model is attainable. We observed that the fractional energy densities for DE and DM $\Omega_{\Lambda}$ and $\Omega_m$ have, respectively, an increasing and a decreasing pattern with the evolution of the universe, indicating an evolution from matter to DE dominated universe. Finally, studying the squared speed of the sound $v_s^2$ for our model, we found that is classically stable.