f(Q,T) gravity is a recently proposed modified theory of gravity due to Xu et al. (2019). It is an extension of the symmetric teleparallel gravity, in which the gravitational action is given by an arbitrary function f(Q,T) of the non-metricity tensor Q and the trace of energy-momentum tensor T. In this paper also, we have investigated the cosmological model with Friedmann–Lemaitre–Robertson–walker (FLRW) Universe in f(Q,T) theory with f(Q,T) = αQn + βT. Applying the energy conservation condition ρ̇ + 3H(ρ + p) = 0, we have obtained the various cosmological parameters viz. Hubble parameter H(z), deceleration parameter q(z), etc. in terms of redshift z. Using the available observational Hubble datasets H(z), the best fit values of the model parameters are determined by the R2-test formula. For these obtained values of model parameters, our model represents a transit cosmological model with past decelerating to present accelerating expansion phase of the Universe with the present value q0 = −0.63. The point of signature-flipping (transition) is calculated as zt = 0.469. We have analyzed the variations of physical parameters viz. matter energy density ρ, isotropic pressure p, equation of state ω = p ρ with respect to redshift z and coupling parameter β. For checking the viability of our derived model, we have tested energy conditions and also performed statefinder diagnosis. The age of the Universe is also calculated.

中文翻译：

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修正 f(Q,T) 引力中的过境宇宙模型

F(问,吨)引力是最近提出的一种修正的引力理论，由于徐等人. (2019）。它是对称远平行引力的扩展，其中引力作用由任意函数给出F(问,吨)非度量张量的问和能量动量张量的迹吨. 在本文中，我们还研究了弗里德曼-勒梅特-罗伯逊-沃克 (FLRW) 宇宙的宇宙学模型F(问,吨)理论与F(问,吨) = α问n + β吨. 应用能量守恒条件ρ̇ + 3H(ρ + p) = 0，我们已经获得了各种宇宙学参数，即。哈勃参数H(z), 减速参数q(z)等就红移而言z. 使用可用的哈勃观测数据集H(z)，模型参数的最佳拟合值由R2-测试公式。对于这些获得的模型参数值，我们的模型表示一个过境宇宙模型，过去减速到现在的宇宙加速膨胀阶段，现值q0 = -0.63. 签名翻转（转换）的点计算为z吨 = 0.469. 我们已经分析了物理参数的变化，即。物质能量密度ρ, 各向同性压力p, 状态方程ω = p ρ关于红移z和耦合参数β. 为了检查我们派生模型的可行性，我们测试了能量条件并执行了状态查找器诊断。宇宙的年龄也被计算出来。