论文标题
$ f（r，t^{2}）$理论中的Noether对称性和一些精确的解决方案
Noether Symmetries and Some Exact Solutions in $f(R, T^{2})$ Theory
论文作者
论文摘要
本文的主要目的是通过$ f（r，t^{2}）$理论中的Noether对称技术来检查一些物理上可行的解决方案。为此，我们假设一个广泛的各向异性和同质时空产生不同的宇宙模型。为了研究Noether方程，对称发生器和保守数量，我们使用了该修改理论的特定模型。我们找到了确切的解决方案并检查各种宇宙学数量的行为。发现这些数量的行为与当前的观察结果一致，表明该理论描述了宇宙加速的扩张。我们得出的结论是，在该理论中存在Noethy对称性和保守数量的发生器。
The main objective of this article is to examine some physically viable solutions through the Noether symmetry technique in $f(R, T^{2})$ theory. For this purpose, we assume a generalized anisotropic and homogenous spacetime that yields distinct cosmic models. In order to investigate Noether equations, symmetry generators and conserved quantities, we use a specific model of this modified theory. We find exact solutions and examine the behavior of various cosmological quantities. It is found the behavior these quantities is consistent with current observations indicating that this theory describes the cosmic accelerated expansion. We conclude that generators of Noether symmetry and conserved quantities exist in this theory.
