Mei Symmetries of Lagrangian of the Minkowski Spacetime

Abstract

This thesis explores Mei symmetries related to the Lagrangian of Minkowski space-time. The study begins by analyzing the criteria for Mei symmetries, followed by applying the Minkowski space-time Lagrangian to derive the Euler Lagrange equations and the associated determining equations. Through solving these determining equations, a total of thirteen Mei symmetries are identified for the given Lagrangian. Additionally, the research reviews Lie point symmetries and the Noether symmetries of the same Lagrangian, but precisely in this case, the Mei symmetries and the Noether symmetries are a subset of the Lie point symmetries. A verification procedure is conducted to confirm the accuracy of the obtained results.