On the invariance properties of‎ Vaidya-Bonner geodesics via symmetry operators

Document Type : Research Paper


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


‎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.