基于Noether规范对称性的广义Saez-Ballester理论的Bianchi I型宇宙学
Bianchi Type I Cosmology in Generalized Saez-Ballester Theory via Noether Gauge Symmetry
摘要：
本文在Bianchi I型宇宙时空背景下，通过Noether规范对称性（NGS）研究了广义Saez-Ballester标量张量引力理论.我们从我们模型的拉格朗日量开始，计算它的规范对称性和相应的不变量。我们得到了标量场的指数形式的势函数。对于所得到的所有对称性，我们确定了对应于每个规范对称性的规范函数，包括常数规范和动态规范。我们讨论了我们的模型的宇宙学意义，并表明它是兼容的观测数据。
英文摘要：
In this paper, we investigate the generalized Saez-Ballester scalar-tensor theory of gravity via Noether gauge symmetry (NGS) in the background of Bianchi type I cosmological spacetime. We start with the Lagrangian of our model and calculate its gauge symmetries and corresponding invariant quantities. We obtain the potential function for the scalar field in the exponential form. For all the symmetries obtained, we determine the gauge functions corresponding to each gauge symmmetry which include constant and dynamic gauge. We discuss cosmological implications of our model and show that it is compatible with the observational data.
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