Abstract:
In this thesis, the Mei symmetries for the Lagrangian corresponding to an axially
symmetric metric are examined. For this purpose, the Kerr metric is considered. Using
the Mei symmetries criteria, we determined four Mei symmetries for the Lagrangian
of Kerr metric. Furthermore, the Lie point symmetries and Noether symmetries for
the same Lagrangian are reviewed. The results reveal that, in the case of the Kerr
metric, the Noether symmetry set is a subset of the Mei symmetry set and that Mei
symmetries are same as that of Lie point symmetries. In the end, the obtained Mei
symmetries are also verified.
