标题： 常滚动膨胀在$f(T)$望远镜引力中的研究 显示英文标题

标题： Constant-roll Inflation in $f(T)$ Teleparallel Gravity

摘要： 我们详细研究了常数滚动条件对一个标量场与teleparallel引力$f(T)$耦合的膨胀时期的影响。由此产生的宇宙学方程构成了一种重建技术，使我们能够找到对应于特定宇宙学演化的$f(T)$引力，或者由固定的$f(T)$引力生成的宇宙学演化对应的哈勃率。我们还详细分析了常数滚动teleparallel引力的相空间，并讨论了固定点和轨迹的物理意义。此外，我们计算了具有给定$f(T)$引力理论的观测指数，并讨论了常数滚动条件对这些理论的所有影响。正如我们所展示的，对于该理论自由参数的广泛取值范围，所得理论可以与当前的观测数据兼容。 显示英文摘要

摘要： We investigate in detail the implications of the constant-roll condition on the inflationary era of a scalar field coupled to a teleparallel $f(T)$ gravity. The resulting cosmological equations constitute a reconstruction technique which enables us to find either the $f(T)$ gravity which corresponds to a given cosmological evolution, or the Hubble rate of the cosmological evolution generated by a fixed $f(T)$ gravity. We also analyze in some detail the phase space of the constant-roll teleparallel gravity and we discuss the physical significance of the resulting fixed points and trajectories. Also we calculate the observational indices of a theory with given $f(T)$ gravity, and we discuss all the implications of the constant-roll condition on these. As we demonstrate, the resulting theory can be compatible with the current observational data, for a wide range of values of the free parameters of the theory.