论文标题
$ f（t，ϕ）$重力中的动态系统分析
Dynamical systems analysis in $f(T,ϕ)$ gravity
论文作者
论文摘要
基于远程的宇宙学模型提供了重力的描述，其中扭转是引力的中介。在所谓的电触电中，已经进行了几种延伸，相当于一般相对论，这等同于运动方程水平的一般相对性，在该方程式中，尝试研究了这种形式的重力的扩展，并描述了扭转标量表$ t $的更通用功能。这些扩展之一是$ f（t，ϕ）$重力； $ t $和$ ϕ $分别表示扭转标量和标量字段。在这项工作中，已经为这类理论进行了动力学分析，以获得许多模型的宇宙学行为。这里介绍了两个模型，并具有某种功能形式的扭转标量，并获得了临界点。对于每个临界点，显示了稳定性行为和相应的宇宙学。通过图形表示，对于两个模型，还列出了状态参数的方程和物质主导，以辐射为主和暗能量相的密度参数。
Teleparallel based cosmological models provide a description of gravity in which torsion is the mediator of gravitation. Several extensions have been made within the so-called Teleparallel equivalent of general relativity which is equivalent to general relativity at the level of the equations of motion where attempts are made to study the extensions of this form of gravity and to describe more general functions of the torsion scalar $T$. One of these extensions is $f(T,ϕ)$ gravity; $T$ and $ϕ$ respectively denote the torsion scalar and scalar field. In this work, the dynamical system analysis has been performed for this class of theories to obtain the cosmological behaviour of a number of models. Two models are presented here with some functional form of the torsion scalar and the critical points are obtained. For each critical point, the stability behaviour and the corresponding cosmology are shown. Through the graphical representation the equation of state parameter and the density parameters for matter-dominated, radiation-dominated and dark energy phase are also presented for both the models.
