论文标题
标量扭转中的Noether对称方法$ f（t，ϕ）$重力
Noether Symmetry Approach in Scalar-Torsion $f(T,ϕ)$ Gravity
论文作者
论文摘要
在Friedmann-Lema- Robertson-Walker-Walker时代的背景下，Noether对称方法用于研究包含扭转标量$ t $的扩展远程理f（t，ϕ）$重力。我们研究了$ f（t，ϕ）$重力形式主义的Noether对称方法，其特定形式的$ f（t，ϕ）$，并分析了如何演示非平凡的noether载体。 Noether对称方法是生成模型并找出Lagrangian的精确解决方案的有用资源。在本文中，我们介绍了Noether对称方法如何使我们能够定义函数$ f（t，ϕ）$的形式并获得精确的宇宙学解决方案。我们还发现了对场方程的分析宇宙学解，这与Noether对称性一致。我们的结果表明，获得的解决方案可以加速宇宙的扩张。我们还获得了哈勃参数，减速参数和状态参数的有效方程的现值，该方程适合当前宇宙学观察范围。
The Noether Symmetry approach is applied to study an extended teleparallel $f(T,ϕ)$ gravity that contains the torsion scalar $T$ and the scalar field $ϕ$ in the context of an Friedmann-Lemaître-Robertson-Walker space-time. We investigate the Noether symmetry approach in $f(T,ϕ)$ gravity formalism with the specific form of $f(T,ϕ)$ and analyze how to demonstrate a nontrivial Noether vector. The Noether symmetry method is a helpful resource for generating models and finding out the exact solution of the Lagrangian. In this article, we go through how the Noether symmetry approach enables us to define the form of the function $f(T,ϕ)$ and obtain exact cosmological solutions. We also find the analytical cosmological solutions to the field equations, that is consistent with the Noether symmetry. Our results demonstrate that the obtained solutions enable an accelerated expansion of the Universe. We have also obtained the present value of the Hubble parameter, deceleration parameter, and effective equation of state parameter, which is fit in the range of current cosmological observations.
