On the invariance properties of Vaidya-Bonner geodesics via symmetry operators
arXiv:2103.03838
Abstract
In the present paper, we try to investigate the Noether symmetries and Lie point symmetries of the Vaidya-Bonner geodesics. Classification of one-dimensional subalgebras of Lie point symmetries are considered. In fact, the collection of pairwise non-conjugate one-dimensional subalgebras that are called the optimal system of subalgebras is determined. Moreover, as illustrative examples, the symmetry analysis is implemented on two special cases of the system.
This paper accepted for publication in International Journal of Nonlinear Analysis and Applications