标题： 观测哈勃参数数据对$f(T)$引力与粒子生成的相互作用模型的约束 显示英文标题

标题： Observational Hubble parameter data constraints on the interactive model of $f(T)$ gravity with particle creation

摘要： 在本文中，我们从热力学的角度考虑了一个开放系统，该系统是处于粒子在其中产生的绝热FRW宇宙模型中的。在这种情况下，得到修改后的连续性方程，然后将其与$f(T)$引力的连续性方程相对应。因此，我们采用平坦-FRW度规中的$f(T)$引力，其中$T$是扭曲标量。我们考虑宇宙的内容为暗物质和暗能量，并考虑它们之间的相互作用项。这项研究的有趣之处在于我们将由于粒子产生而得到的修改后的连续性方程等效于由于$f(T)$引力而得到的物质连续性方程。这种评估的结果在粒子数和尺度因子之间建立了一种关系。接下来，我们以粒子数来写出相应的宇宙学参数，同时以红移参数来重建粒子数，然后我们用51个来自哈勃观测参数的数据对幂律宇宙学得出的哈勃参数进行参数化。接下来，我们以红移为基准，绘制出暗能量相应的宇宙学参数，以研究宇宙的加速膨胀。此外，通过使用声速参数，我们讨论了当前模型在宇宙不同时期的稳定性分析和不稳定分析。最后，我们以红移参数为基准，绘制出暗能量和暗物质的密度参数值。 显示英文摘要

摘要： In this paper, we consider an open system from the thermodynamic perspective for an adiabatic FRW universe model in which particle creation occurs within the system. In that case, the modified continuity equation is obtained and then we correspond it to the continuity equation of $f(T)$ gravity. So, we take $f(T)$ gravity with the viscous fluid in flat-FRW metric, in which $T$ is the torsion scalar. We consider the contents of the universe to be dark matter and dark energy and consider an interaction term between them. The interesting point of this study is that we make equivalent the modified continuity equation resulting from the particle creation with the matter continuity equation resulting from $f(T)$ gravity. The result of this evaluation creates a relationship between the number of particles and the scale factor. In what follows, we write the corresponding cosmological parameters in terms of the number of particles and also reconstruct the number of particles in terms of the redshift parameter, then We parameterize the Hubble parameter derived from power-law cosmology with 51 data from the Hubble observational parameter. Next, we plot the corresponding cosmological parameters for the dark energy in terms of the redshift to investigate the accelerated expansion of the universe. In addition, by using the sound speed parameter, we discuss the stability analysis and instability analysis of the present model in different eras of the universe. Finally, we plot the density parameter values for dark energy and dark matter in terms of the redshift parameter.