论文标题
Noether对称性的非最少耦合宇宙学的等效性
Equivalence of non-minimally coupled cosmologies by Noether symmetries
论文作者
论文摘要
我们讨论涉及不同几何不变的非最少耦合宇宙学。具体而言，考虑了包含非最小耦合标量场与重力的作用，而重力又通过曲率，扭转和高斯标量描述。我们表明，耦合，电势和动力学术语是由存在对称性的存在确定的，这些对称性可以减少和求解动力学。本文的主要发现是，具有相同noether对称性的不同非最少耦合理论在动态上等效。换句话说，noether对称性是比较不同重力理论的选择标准。
We discuss non-minimally coupled cosmologies involving different geometric invariants. Specifically, actions containing a non-minimally coupled scalar field to gravity described, in turn, by curvature, torsion and Gauss--Bonnet scalars are considered. We show that couplings, potentials and kinetic terms are determined by the existence of Noether symmetries which, moreover, allows to reduce and solve dynamics. The main finding of the paper is that different non-minimally coupled theories, presenting the same Noether symmetries, are dynamically equivalent. In other words, Noether symmetries are a selection criterion to compare different theories of gravity.
