On the invariance properties of Vaidya-Bonner geodesics via symmetry operators
نویسندگان
1 Department of Mathematics, Karaj Branch, Islamic Azad University, karaj, Iran.
2 Department of Mathematics, Faculty of Basic Sciences, Babol Noshirvani University of Technology, Babol, Iran
3 School of Mathematics, Iran University of Science and Technology Narmak, Tehran, 16846-13114, Iran
doi
10.22075/ijnaa.2020.21159.2238چکیده
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 is called the optimal system of subalgebras is determined. Moreover, as illustrative examples, the symmetry analysis is implemented on two special cases of the system.
